Probability Question and Solutions
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- Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?
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Srinaya forgot the last digit of an 11 digit land line number. If she randomly dials the final 2 digits after correctly dialing the first nine, then what is the chance of dialing the correct number?
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A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
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Two cards are drawn from a pack of cards without replacement, what is the probability of getting an odd number card in red colour and an even number card in black colour?
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A card is drawn from a well shuffled pack of 52 cards. What is the probability of getting queen or club card?
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Bucket P contains 4 green, x black and 5 red colour balls and probability of getting one black colour ball is 2/5. Bucket Q contains (x+2) black, (x+3) pink and (x-3) red colour balls, if two balls are taken from bucket Q then find the probability of getting at least one is pink colour ball?
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A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
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There are 15 boys and 10 girls in a class. If three students are selected at random, what is the probability that 1 girl and 2 boys are selected?
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Three coins are tossed. What is the probability of getting at most two tails?
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Three unbiased coins are tossed. What is the probability of getting at least 2 tails?
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Two cards are drawn from pack of 52 cards. What is the probability that both are kings, when first drawn card is replaced?
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What is the probability of selecting a prime number from 1,2,3,... 10 ?
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A number is selected at random from first thirty natural numbers. What is the chance that it is a multiple of either 3 or 13?
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2 dice are thrown simultaneously. What is the probability that the sum of the numbers on the faces is divisible by either 3 or 5?
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From a pack of 52 cards, one card is drawn at random. Find the probability that the drawn card is a club or a jack?
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When two dice are tossed, what is the probability that the total score is a prime number?
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If six persons sit around a table, the probability that some specified three of them are always together is
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Two dice are thrown simultaneously. What is the difference between probabilities of getting sum of the dice is divisible by 5 and the difference of the dice is divisible by 2?
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3 balls are drawn randomly from a bag contains 3 black, 5 red and 4 blue balls. What is the probability that the balls drawn contain balls of different colors?
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The probability that a bullet fired from a point will strike the target is 3/4. 5 such bullets are fired simultaneously towards the target from that very point. What is the probability that the target will be strike?
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A card is drawn from a pack of 52 cards. The card is drawn at random. What is the probability that it is neither a heart nor a king?
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In a lottery, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting a prize?
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Six male and five female stands in queue for buy a cinema ticket. The probability that they stand in alternate positions is:
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A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
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Three coins are tossed. What is the probability of getting at most two tails?
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When two dice are rolled, what is the probability that the sum is either 7 or 11?
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When 4 dice are thrown, what is the probability that the same number appears on each of them?
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
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In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
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A bag contains 4 red balls, 5 green balls and 6 white balls. A ball is drawn at random from the box. What is the probability that the ball drawn is either red or green?
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What is the probability of getting a number less than 4 when a die is rolled?
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
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A letter is chosen at random from the word 'ASSASSINATION'. What is the probability that it is a vowel?
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A basket contains x black, 4 red and 5 green colour balls. One ball is taken randomly and the probability of getting a green colour ball is 1/3, and then finds the no. of balls in the basket?
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One card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a face card (Jack, Queen and King only)?
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John and Dani go for an interview for two vacancies. The probability for the selection of John is 1/3 and whereas the probability for the selection of Dani is 1/5. What is the probability that only one of them is selected?
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One ball is picked up randomly from a bag containing 8 yellow, 7 blue and 6 black balls. What is the probability that it is neither yellow nor black?
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In a bouquet, there are 5 red, 3 white and 7 orange roses. One rose is picked up randomly. What is the probability that is neither red nor orange?
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Two dice thrown simultaneously, what is the ratio of the probability of getting sum of the dice is more than 10 to the sum of the dice is divisible by 3?
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Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
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One card is randomly drawn from a pack of 52 cards. What is the probability that the card drawn is a face card(Jack, Queen or King)
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A letter is chosen at random from the word 'ASSASSINATION'. What is the probability that it is a consonant?
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When tossing two coins once, what is the probability of heads on both the coins?
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A committee has 15 members, of whom only 5 woman. What is the probability that a committee of 11 members with at least 3 women is selected?
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A box contains 15 tube lights, out of which 6 are repair. 3 tube lights are chosen at random from this box. Find the probability that at least one of these is repair?
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A bag contains x+4 pink, 6 green and 8 brown colour balls; if two balls are taken random and the probability of getting both are green colour balls is 5/92, then find the difference between the no. of pink colour balls and the no. of brown colour balls?
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Akshaya and Nikitha play a game where each is asked to select a number from 1 to 8. If the two numbers same, both of them win a prize. The probability that they will not win a prize in a single trial is:
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In a bag contains 6 black toys, 7 violet toys and 5 blue toys. Three toys are drawn at random from the bag. The probability that all of them are blue is?
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Two friends Harish and Kalyan appeared for an exam. Let A be the event that Harish is selected and B is the event that Kalyan is selected. The probability of A is 2/5 and that of B is 3/7. Find the probability that both of them are selected.
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What is the probability of getting at least one six in a single throw of three unbiased dice?
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The probability that it is Friday and that a student is absent is 0.03. Since there are 5 school days in a week, the probability that it is Friday is 0.2. What is the probability that a student is absent given that today is Friday?
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In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
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Three unbiased coins are tossed. What is the probability of getting at most two heads?
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Two dice are rolled together. What is the probability of getting two numbers whose product is even?
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Bucket A contains x green and x+5 black balls and Bucket B contains (x-2) green and (2x-4) black colour balls. Find the total number of balls in the bucket B if one ball is taken from bucket A and the probability of getting one green ball is 1/3?
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John and Dani go for an interview for two vacancies. The probability for the selection of John is 1/3 and whereas the probability for the selection of Dani is 1/5. What is the probability that none of them are selected?
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In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is:
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In a simultaneous throw of two dice, what is the probability of getting a doublet?
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A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
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The probability A getting a job is 1/5 and that of B is 1/7 . What is the probability that only one of them gets a job?
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A box contains 7 black and 5 white hair clips. 3 hair clips are drawn at random. What is the probability that one is black and the other 2 are white?
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Two cards are drawn together at random from a pack of 52 cards. What is the probability of both the cards being Queens?
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Two dice are rolled. The probability of getting a sum of at least 9 is
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Probability of Raman, Dinesh and Hari speaking truth is 1/3, 2/5 and ¾. Find the probability of at most one of them speaks truth?
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In a box containing ten toys, two are defective. What is the probability that among 5 toys chosen at random none is defective?
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5 coins are tossed together. What is the probability of getting exactly 2 heads?
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A bag contains 2 yellow, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
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What is the probability of drawing a "Queen" from a deck of 52 cards?
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A number is selected at random from first 40 natural numbers. What is the chance that it is a multiple of either 4 or 14?
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A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
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John draws a card from a pack of cards. What is the probability that the card drawn is a card of black suit?
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Bag A contains 3 green and 7 blue balls. While bag B contains 10 green and 5 blue balls. If one ball is drawn from each bag, what is the probability that both are green?
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There are three events X,Y and Z, one of which must and only can happen. If the odds are 7:4 against X, 5:3 against Y, the odds against Z must be:
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A pot contains 5 white and 3 red balls while another pot contains 4 white and 6 red balls. One pot is chosen at random and a ball is drawn from it. If the ball is white, what is the probability that it is from the first pot?
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In a class, there are 15 boys and 10 girls. Three students are selected at random. The probability that 1 girl and 2 boys are selected, is?
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Out of 7 fruits in a basket, 2 are rotten. If two fruits are drawn at random from the basket, the probability of both being rotten is
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A bag contains 4 black, 5 yellow and 6 green balls. Three balls are drawn at random from the bag. What is the probability that all of them are yellow?
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A card is randomly drawn from a deck of 52 cards. What is the probability getting an Ace or King or Queen?
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2 cards are drawn together at random from a pack of 52 cards. What is the probability of both the cards being jack?
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The probability that a number selected at random from first 50 natural numbers is a composite number is
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A card is randomly drawn from a deck of 52 cards. What is the probability getting either a King or a Diamond?
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Daniel speaks truth in 2/5 cases and Sherin lies in 3/7cases. What is the percentage of cases in which both Daniel and Sherin contradict each other in stating a fact?
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Preethi was born between August 26 and 30 (26 and 30 excluding). Her year of birth is also unknown. What is the probability of Preethi being born on a Monday?
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Two friends A and B appear in an interview for two vacancies in the same post. The probability of A’s selection is 1/6 and that of B’s selection is 1/5. What is the probability that both of them will be selected and one of them will be selected?
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An integer is chosen at random from the first fifty integers. What is the probability that the integer chosen is a prime or multiple of 4?
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If a number is chosen at random from the set {1, 2, 3…, 100}, then the probability that the chosen number is a perfect cube is
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A letter is randomly taken from English alphabets. What is the probability that the letter selected is not a vowel?
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Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?
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From a pack of 52 cards one card is drawn at random. What is the probability that the card drawn is a six or a diamond?
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From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?
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Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?
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From a pack of 52 cards, one card is drawn at random. Find the probability that the drawn card is a club or a jack?
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Two cards are drawn together from a pack of 52 cards. The probability that one is a club and one is a diamond?
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A card is randomly drawn from a deck of 52 cards. What is the probability getting a five of Spade or Club?
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A die is rolled twice. What is the probability of getting a sum equal to 9?
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A cartoon contains 7 red and 5 green apples. 3 apples are drawn at random. Find the probability that they are of the same colors.
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A military man can strike a target once in 3 bullets. If he fires 3 bullets in succession, what is the probability that he will strike his target?
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A person tosses an unbiased coin. When head turns up, he gets Rs.8 and tail turns up he loses Rs.4. If 3 coins are tossed, what is probability that the gets a profit of Rs.12?
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