Probability & Permutation — practice questions, page 4
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A bag contains 3 red and 5 black balls and two balls are drawn at random together. Which is the…Two cards are drawn at random together from a well-shuffled pack of 52 playing cards. What is the…A fair coin is tossed 5 times. What is the probability of getting at least 3 heads?Four fair coins are tossed simultaneously. What is the probability of getting at most one head?How many distinct arrangements of the letters of the word BANANA keep the two N's always together?The letters of the word MOBILE are arranged at random in a row. What is the probability that the…A team of 11 players is to be selected from 15 players, with 2 particular players always included.…From a shelf of 9 books, 4 books are to be selected so that one particular book is never selected.…A problem is given to three students whose individual probabilities of solving it are 1/2, 1/3 and…Two players A and B shoot at a target independently. The probability that A hits it is 3/5 and…A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random together. What is…A bag contains 5 red balls and n green balls. One ball is drawn at random and the probability that…The number of permutations of n distinct books placed in a row on a shelf is 5040. Find n.How many even 4-digit numbers can be formed using the digits 1, 2, 3, 4 and 5 if no digit is…A jar on a Nagpur sweet shop counter holds 7 mango candies and 5 orange candies, identical to the…A shopkeeper keeps two cartons of glass marbles. Carton A holds 5 white and 3 red marbles; carton…A rack at a Ludhiana garment unit holds 9 jackets, 3 of which have a loose button. A buyer lifts…A lucky-dip box at a school fete holds 4 green and 6 white tokens. A token is drawn, its colour…A player throws a pair of fair dice and compares two totals: the two numbers added, and the two…Three fair dice are rolled together. What is the probability that no two of the three dice show…Two fair dice are thrown and a friend reports, truthfully, that the two dice did NOT show the same…A dealer shuffles a 52-card pack and turns up two cards at the same time. What is the probability…A player deals himself three cards off the top of a shuffled 52-card pack. What is the probability…From a shuffled 52-card pack, two cards are lifted out at one go. What is the probability that the…Cards are lifted one at a time from a shuffled pack of 52, the first one NOT being put back. The…
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