1.

From a pack of 52 well shuffeled cards, cards are drawn one by one without replacement. It 4 th drawn card is found to be ace, then what is probability that there are no more acess left in the pack, is :-

Answer»

`(1)/(.^(48)C_(3)+3.^(49)C_(2)+1)`
`(1)/(.^(48)C_(3)+.^(49)C_(2)+1)`
`(1)/(3.^(48)C_(3)+.^(49)C_(2)+1)`
`(1)/(.^(52)C_(4)+1)`

SOLUTION :`(.^(4)C_(3).^(1)C_(1)l^(52)C_(4))/((.^(4)C_(3).^(1)C_(1)+.^(4)C_(2).^(48)C_(1).^(2)C_(1)+.^(4)C_(1).^(48)C_(2).^(3)C_(1)+.^(48)C_(3).^(4)C_(1))/(.^(52)C_(4)))`
`4/(4+12.^(48)C_(1)+12.^(48)C_(2)+4.^(48)C_(3))`
`1/(1+3 .^(49)C_(2)+ .^(48)C_(3))`.


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