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Two cards are drawn successively with replacement from a well shuffled deck of 52 cards, then the meanof the number of aces isA. `1/(13)`B. `3/(13)`C. `2/(13)`D. None of these |
Answer» Correct Answer - C probability of selecting ace, `p=4/(52)=1/(13)` Probabllity of not selecting ace, `q=1-1/(13)=(12)/(13)` `p(X=0)=""^2C_0xx(1/(13))^0xx((12)/(13))^2=(144)/(169)` `P(X=1)=""^2C_1xx(1/(13))xx((12)/(13))=(24)/(169)` `P(X=2)=""^2C_2(1/(13))^2.((12)/(13))^0=1/(169)` Mean `=SigmaP_iX_i=0xx(144)/(169)+1xx(24)/(169)+2xx1/(169)` `=(24)/(169)+2/(169)=2/(13)` |
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