A box contains 6 distinct dolls. From th...

A box contains 6 distinct dolls. From this box, 3 dolls are randomly selected one by one with replacement. What is the probability of selecting 3 distinct dolls ?

`5//54`

`12//25`

`1//20`

`5//9`

Text Solution

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The correct Answer is:

Required probability `= (""^(6)C_(1) xx ""^(5)C_(1) xx ""^(4)C_(1))/(""^(6)C_(1) xx ""^(6)C_(1) xx ""^(6)C_(1))`
`= (6 xx 5 xx 4)/(6 xx 6 xx 6) = 5/9`

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