Practice Probability Questions and Answers

• A bag contains 5 red flowers, 7 yellow flowers and 8 green flowers. 3 flowers are drawn randomly. What is the probability that the flowers drawn contain fl...
• In a box there are 3 pink, 5 black, and 9 yellow flowers. One flower is picked up randomly. What is the probability that it is neither pink nor black? ...
• A box contains 13 black and 13 white balls. The probability of drawing two balls of the same colour is?   
• Tickets numbered 1 to 50 are mixed up and then a ticket drawn at random.  What is the probability that the ticket drawn bears a number which is multiple o...
• From a pack of 52 cards, One card is drawn at random. What is the probability that the card drawn is a king or a heart?
• What is the probability that a number selected from 1,2,3.......................68,69,70, is perfect square or a perfect cube?
• A box contains 6 red, 4 blue, 2 green and 4 yellow pens. Two pens are picked at random, what is the probability that one is blue and one is yellow?
• A box contains 6 red, 4 blue, 2 green and 4 yellow pens. If four pens are picked at random, what is the probability that one is green, two are blue and one...
• When two dice are thrown, what is the probability that sum of the number appeared is 4 or 5?
• If the letters of the word PLAYERS be arranged at random, what is the probability that there are exactly five letters between P and S?   
• If the letters of the word HORIZON be arranged at random, what is the probability that all the vowels are together?
• If the letters of the word HORIZON be arranged at random, what is the probability that vowels are not together?
• In a group of artists, there are 10 dancers and 8 singers. If four artists are to be selected at random, what is the probability that 2 dancers and 2 singe...
• 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?
• Roger Federer play 3 sets of a tennis match. The probability of his winning the three sets are 1/9,1/4,3/4 respectively. What is the probability that he wi...
• If from a pack of 52 playing cards, 1 card is drawn at random. What is the probability that it is either a King, Queen or a Jack?
• If a coin is tossed 10 times then what is the probability of getting three heads?
• A letter is taken out at random from ‘ROORKEE’ and another is taken out from ‘BOOKKEEPER’. The probability that they are the same letter is  ...
• What is the probability that three S’s come consecutively in the word ‘SUCCESSION’?
• Roger Federer gets a chance of 60% to win 1st set of tennis and Andy Murray gets a chance of 55% to win 2nd set of tennis. In what Percent of cases are the...
• 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?