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InterviewSolution
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Given four pair of gloves, they are distributed to four persons. Each person is given a right-handed and left-handed glove, then the probability that no person gets a pair isA. `3//8`B. `5//8`C. `1//4`D. `3//4` |
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Answer» Correct Answer - A `(a)` Let us first distribute `4` left gloves to four person in `4!` ways. If no one gets the corresponding right glove then no. of ways `=4!(1-(1)/(1!)+(1)/(2!)-(1)/(3!)+(1)/(4!))=9` Then number of favourble ways `=9xx4!=216` Total number of ways `4!xx4!` `:.` Required propability `=(216)/(4!xx4!)=(216)/(576)=(3)/(8)` |
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