Probability & Permutation — practice questions with answers
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A box holds 5 green and 3 yellow marbles. Two marbles are picked together at random. What is the…A committee of 2 is chosen at random from 4 men and 5 women. What is the probability that both…Two fair dice are thrown together. What is the probability that the sum of the numbers appearing…From a bag with 5 white and 3 black balls, two balls are drawn together at random. What is the…Two dice are thrown together. What is the probability that the sum of the numbers on top is 8?…Two fair coins are tossed together. What is the probability of getting exactly one head?Using every letter of ROTOR exactly once, how many distinct arrangements are possible?Three fair coins are tossed at the same time. What is the probability of getting at least two heads?Ananya draws one card from a well-shuffled pack of 52 cards. What is the chance that it is a red…When a fair die is thrown, what is the probability of getting a number greater than 4?How many different arrangements can be made from all the letters of the word COFFEE?Two dice are rolled together. What is the chance that the total of the two faces is 10?A bag at a fair holds 6 red, 7 green and 8 yellow balls. Without looking, Pinky pulls out one…For an inter-school debate, the teacher must send 4 speakers out of the 7 students who tried out.…Three fair coins are tossed together. What is the probability of getting exactly two heads?One card is pulled from a shuffled deck of 52. What is the probability that it is either a heart…A candy box holds 9 chocolate candies, 4 coconut candies and 2 almond candies. If Anu picks one…A pizza outlet offers 8 toppings, and a customer may choose any 4 different ones. How many…What is the probability that a card drawn at random from a full pack of 52 is either a queen or a…How many two-digit numbers can be formed using the digits 1, 2, 3 and 4 without repeating any digit?A fair coin is tossed twice. What is the probability of getting exactly one head?Two fair dice are rolled together. What is the probability that the sum of the numbers is 7?A fair six-faced die is rolled once. What is the probability of getting an even number?Six students are to sit in a row of 6 chairs. Two of them, Om and Pia, must take the two end…Two fair dice are rolled together. What is the probability that the sum of the numbers on the two…
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