Practice Probability Questions and Answers

• In a lottery, there are 6 prizes and 30 blanks. A lottery is drawn at random. What is the probability of getting a prize? ...
• In a lottery, there are 11 prizes and 30 blanks. A lottery is drawn at random. What is the probability of getting a prize?
• A bag has balls of three colours. It has 8 red balls, x green balls and y blue balls, If probability of picking one green ball and that of picking one blue...
• A question is given to Saket, Ankush and Prem. Probability that Saket, Ankush and Prem can solve the question is 1/3, 2/5 and 1/2. Find the probability tha...
• A bag has 7 pink, 4 black and 3 yellow balls while another bag has 5 pink, 6 yellow and 3 blue balls. A bag is selected at random and a ball drawn out of i...
• A box contains 5 blue jellies, some red jelly and rest yellow jelly. The probability of picking a red ball at random is 3/10, while the probability of pick...
• Determine the probability that when a hand of 7 cards is drawn from a box of 52 cards, it consists at least 3 kings?
• One summer peter visits 4 villages (A, B, C and D) in a random order. Find the probability that he visits (i) A before B (ii) A before B and B before C res...
• Two dancers Seema and Reema appeared in audition of a dance competition. The probability that seema will be selected in this dance competition is 0.05 and ...
• Given that E and F are events such that P(E) = 0.8, P(F) = 0.4 and P(E∩ F) = 0.2. Find P(F|E).
• Ten tickets numbered 1 to 15 are placed in a box, mixed up thoroughly and then one ticket is drawn randomly. If it is known that the number on the drawn ti...
• If an event E has more than one possible outcomes, it is called a ______
• In a factory which manufactures calculators, machines A, B and C manufacture respectively 25%, 35% and 40% of the calculators. Of their outputs, 5, 4 and 2...
• Suppose p and q be two real functions continuous at a real number t. Then which of the following is true
• A box contains 5 blue jellies, some red jelly and rest yellow jelly. The probability of picking a red ball at random is 3/10, while the probability of pick...
• From a bag containing 12 white and 15 yellow ribbons, find the probability of picking 2 ribbons of each type at random.
• Three Marbles and three balls are kept in a box. If two items are chosen at random, Find the probability that one is marble and another one is ball?
• A vessel contains 5 red, ‘x’ green and 3 blue ribbons. If two ribbons are drawn from the vessel randomly, then the probability of getting a red and a g...
• A box contains 8 yellow marbles, ‘x’ blue marbles and 12 white marbles. A box contains 5 yellow marbles, 2 blue marbles and 3 white marbles. The probab...
• A biased six-faced dice when thrown, is thrice as likely to show an odd number than an even number. If it is thrown twice, then the probability that the su...
• Given that E and F are events such that P(E) = 0.7, P(F) = 0.4 and P(E ∩ F) = 0.3, find P(E|F) and P(F|E)
• A black and a red dice are rolled. Find the conditional probability of obtaining a sum greater than 9, given that the black die resulted in a 5.
• An instructor has a question bank consisting of 200 easy True / False questions, 300 difficult True / False questions, 400 easy multiple-choice questions a...
• If A and B are events such that P(A|B) = P(B|A), then which of the following is true
• A box of bulbs is inspected by examining three randomly selected bulbs drawn without replacement. If all the three bulbs are non-defected, the box is appro...
• There are three types of maggi masala maggi, aata maggi and vegetable maggi in a bag. The probability of picking a vegetable maggi at random is 6/11. The t...
• There are (m + 4) red roses, (m + 11) white roses and ‘m’ pink roses in a bag. If the probability of picking a pink rose is 5/16, then find the value o...
• There are (m + 6) red roses, (m + 12) white roses and ‘m’ pink roses in a bag. If the probability of picking a pink rose is 4/15, then find the value o...
• There are (m + 4) red roses, (m + 9) white roses and ‘m’ pink roses in a bag. If the probability of picking a pink rose is 3/10, then find the ...
• There are (m + 7) red roses, (m + 11) white roses and ‘m’ pink roses in a bag. If the probability of picking a pink rose is 5/18, then find the value o...
• A box contains 3 blue, 2 white and 4 red marbles. If a marble is drawn at random from the box, what is the probability  that it would be white.
• Which of the following cannot be the probability of an event?
• A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at le...
• A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at le...
• A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at le...
• A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at le...
• A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at le...
• A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at le...
• A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at le...
• A bag contains 5 green gems and 7 orange gems. If 2 balls are drawn random, then what is the probability that at least 1 gem is orange.