Practice Probability Questions and Answers

• If 2 pens are drawn at random what is the probability that none of them is blue?
• There are 14 boys and 6 girls giving interview for a job. If three of them are selected, then what is the probability that one of the three is a girl and t...
• Out of three girls and five boys, five children are to be randomly selected for a dance programme. What is the probability that all the selected children a...
• Two schools, A and B participate in a Quiz competition. The probability of A’s winning is 3/7 and the probability of B’s winning is 3/5. What i...
• In a box there are 6 red, 12 blue, and 18 yellow cards. One card is picked up randomly. What is the probability that it is neither red nor yellow?
• In a class, there are 16 boys and 24 girls. One of them is called out by an enroll number. What is the probability that the one called is a girl?
• What is the Probability of getting a sum of ‘9’ on rolling a dice twice?
• Two cards are drawn together from a pack of 52 cards. The probability that one is a club and one is a diamond?
• 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?
• There are 8 boys and 4 girls giving interview for a job. If three of them are selected, then what is the probability that one of the three is a girl and th...
• The chance that Nikhil can solve a certain problem is1/7, the chance that Tarun can solve it is3/5. Find the probability that the problem is solved if they...
• A five digits number is chosen at random. What is the probability that all the digits are distinct, the digits at odd places are odd and the digits are at ...
• Five squares of a chessboard are chosen at random, the probability that three are of one colour and two of another is
• Tom and Jerry throw alternatively a pair of dice. Tom wins if he throws 8 before Jerry throws 7 and Jerry wins if he throws 7 before Tom throws 8. Find the...
• In a box there are 3 red, 6 blue, and 9 yellow cards. One card is picked up randomly. What is the probability that it is neither red nor yellow?
• If three socks are chosen at random, what is the probability that all  are blue socks?
• If two socks are chosen at random, what is the probability that either all are green or all are black socks?
• Integers 11, 12, 13, 14 are written on 4 cards they are well shuffled. Two cards are taken at random without replacement. What is the probability that the ...
• Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are queens?
• Tokens numbered 1 to 350 are in a bag. What is the probability that the Token drawn has a number which is a multiple of 6 or 7?
• What is the probability that Wye will speak truth for a particular question asked?
• Axe speaks truth only when Wye does not speak truth, then what is the probability that Zed does not speak truth on a question?
• What is the probability that the cards drawn contains 1 red card, 1 purple card and 1 yellow card?
• What is the probability that the cards drawn contains exactly 2 purple card?
• Two hats are picked at random, what is the probability that one is blue and one is yellow?
• Two hats are picked at random, what is the probability that all hats are of green colour?
• If a coin is tossed 10 times then what is the probability of getting three heads?
• Out of three girls and five boys, five children are to be randomly selected for a dance programme. What is the probability that all the selected children a...
• A coin is tossed successively three times. Find the probability of getting exactly one tail or two tails?
• A card is chosen at random from a standard deck of 52 playing cards, without replacing it, a second card is chosen. What is the probability that  firs...
• Coupons numbered 1 to 10 are shuffled and one is drawn what is the probability that it bears an odd number which is also a multiple of 3?
• One five letter word is to be formed taking all letters – U, Z, M, O and Q. What is the probability that this is word formed will contain all vowels ...
• A box contains 6 blue shirts, 7 yellow shirts and 9 pink shirts. In how many ways can 4 shirts be drawn from the box, if at least one blue shirt, one yello...
• In a box there are 6 red, 12 blue, and 18 yellow cards. One card is picked up randomly. What is the probability that it is neither red nor yellow?
• Tokens numbered 1 to 350 are in a bag. What is the probability that the Token drawn has a number which is a multiple of 6 or 7?
• A box contains 6 Brown and 8 Blue caps. There is another box which contains 8 Brown and 7 Blue caps. One cap is to drawn from either of the two boxes. What...
• What is the probability that a number selected from 1,2,3.......................68,69,70, is perfect square or a perfect cube?
• Two cards are drawn together from a pack of 52 cards. The probability that one is a club and one is a diamond?
• 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?
• Two cards are drawn at random from a pack of 52 cards. What is the probability that either both are black or both are queens?