Probability & Permutation — practice questions, page 5
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Six fair coins are tossed at the same time. What is the probability of getting exactly four heads?Three fair coins are tossed behind a screen. You are told only that at least one of them came up…A fair coin is tossed four times in a row. What is the probability that the number of heads equals…A cloth pouch P holds 3 red and 5 white beads; a second pouch Q holds 4 red and 4 white beads. One…A two-digit number is picked at random, every two-digit number being equally likely. What is the…A drawer holds 7 black socks and 5 blue socks, all loose and identical in feel. Two socks are…A four-member cultural team is picked at random from the 5 boys and 6 girls of a Class 9 section.…The six letters of the word ORANGE are written on cards and laid out in a row in random order.…The eleven letters of the word ENGINEERING are shuffled and laid out again as a single string. How…The nine letters of the word COMMITTEE are rearranged. In how many of the resulting letter-strings…A signboard painter has to repaint the nine letters of the word ALLAHABAD in some order. How many…The seven letters of the word CRICKET are rearranged. In how many of the resulting strings do the…Five boys and four girls of a dance troupe are to stand in a straight line for a photograph so…Seven friends sit down at a round table for dinner. Two of them, Faiz and Ishan, have quarrelled…Seven differently coloured beads are strung on a thread to make a necklace. Since the necklace can…Four men and four women are to be seated round a table so that no two men are neighbours. In how…A quiz panel of 5 is to be picked from 4 teachers and 7 students of a school. In how many ways can…A Pune firm must send 4 of its 9 employees to a training programme. Two of the nine, Ravi and…A question paper is set in two parts: Part A carries 7 questions and Part B carries 5. A candidate…A residents' welfare association of 12 members must appoint a president, a secretary and a…A wholesaler has 12 identical steel tumblers to send out to 3 different retail shops. In how many…Nine different story books are to be shared equally among three named children, Aarav, Bela and…A recruitment blog reports that the odds AGAINST a particular candidate being selected are 7 : 4.…In a housing society, the probability that a randomly chosen family subscribes to a Hindi daily is…In a coaching batch, 60% of the students sat the mathematics test and 45% sat both the mathematics…
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