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If in a trial the probability of success is twice the probability of failure. In six trials the probability of at least four successes isA. `(496)/(729)`B. `(400)/(729)`C. `(500)/(729)`D. `(600)/(729)` |
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Answer» Correct Answer - A Let the probability of success and failur are p and q respectively. `therefore p = 2 q and p + q = 1` `rArr 3q = 1 rArr q = (1)/(3) and p =(2)/(3)` `therefore ` Required probability `=""^(6)C_(4)((2)/(3))^(4) ((1)/(3))^(2) = ""^(6)C_(5)((2)/(3))^(5) ((1)/(3)) + ""^(6)C_(6)((2)/(3))^(6)` `=(240)/(729) + (192)/(729)+ (64)/(729) = (496)/(729)` |
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