Probability & Permutation — practice questions, page 6
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QuestionA colony committee has 9 members, of whom 3 are picked at random to attend a municipal meeting.…QuestionThe eight letter-tiles of the word EQUATION are put in a bag and three tiles are taken out…QuestionUsing the digits 3, 4, 5, 6 and 7, and repeating no digit within a number, how many 4-digit…QuestionA caretaker carries 5 similar-looking keys, exactly one of which opens the store room. He tries…QuestionA tray holds 8 LED bulbs, 3 of which are faulty. A technician tests them one at a time in random…QuestionA pouch holds 4 white and 2 black counters. One counter is drawn at random and is NOT put back;…QuestionA game uses one ordinary die with faces 1 to 6 together with a special die whose six faces read 1,…QuestionA prize spinner is split into three unequal sectors: orange measuring 144°, teal measuring 126°…QuestionA library's 240 members are recorded two ways — by membership type and by whether they borrowed an…QuestionIn a hostel of 200 students, 40% travel by the campus bus, 60% subscribe to the mess, and 25% both…QuestionA hospital keeps three standby generators that start independently of one another when the mains…QuestionTwo fair dice are rolled together 288 times, and each time it is noted whether the two dice show…QuestionA five-member advisory panel is to be picked from 9 women and 6 men so that it holds exactly 3…QuestionFive different letters are to be dropped into three different post boxes, each letter going into…QuestionNine chairs stand in a straight row. Four guests are to be seated on them so that no two guests…QuestionA four-character passcode is made by choosing each character from the digits 1 to 6, repeats being…QuestionIn a language club, 5 members speak only Hindi, 4 speak only Tamil and 3 speak both languages. A…QuestionSix delegates sit down at a round table with six equally spaced seats. Two of them, Ravi and…QuestionA ship carries 5 flags of different colours. A signal is made by hoisting one or more of them on a…QuestionAll 120 arrangements of the letters of the word MEDIA are written out in dictionary order, as in a…QuestionThe nine letters of the word INSTITUTE are rearranged. In how many of the resulting letter-strings…QuestionA trust has 15 identical scholarships to hand out among 4 colleges, and every college must receive…QuestionThe seven letters of the word PICTURE are arranged at random in a row. What is the probability…QuestionThe four aces are taken out of a standard 52-card pack and set aside. Two cards are then drawn…QuestionFour fair coins are tossed one after another, and you are told, truthfully, that the FIRST coin…
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