Questions
A cricket club has 15 members, of whom only 5 can bowl. If the names of 15 members are put into a box and 11 are drawn at random, then the probability of getting an eleven containing at least 3 bowlers is
detailed solution
Correct option is D
The total number of ways of choosing 11 players out of 15 is 15C11. A team of 11 players containing at least 3 bowlers can be chosen in the following mutually exclusive ways:(I) Three bowlers out of 5 bowlers and 8 other players out of the remaining 10 players.(II) Four bowlers out of 5 bowlers and 7 other players out of the remaining 10 players.(III) Five bowlers out of 5 bowlers and 6 other players out of the remaining 10 players.So, required probability isP(I) + P(II) + P(III)= 5C3×10C8 15C11+ 5C4×10C7 15C11+ 5C5×10C6 15C11=12601365=1213Talk to our academic expert!
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A bag contains 10 different balls. Five balls are drawn simultaneously and then replaced and then seven balls are drawn. If the probability that exactly three balls are common to the two draws is p, then the value of 8p is ________.
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