1.

A team of 8 couples, (husband and wife) attend a lucky draw in which 4 persons picked up for a prize. Then, inprobability that there is at least one couple isA. `11//39`B. `12//39`C. `14//39`D. `15//39`

Answer» Correct Answer - D
We have,
Probability of selecting at least one couple for the prize
`=1-` Probability of not selecting any couple for the prize
`=1-((.^(16)C_(1)xx .^(14)C_(1)xx .^(12)C_(1)xx .^(10)C_(1)4!))/(.^(16)C_(4))`
`=1-(16xx14xx12xx10)/(16xx15xx14xx13)=(15)/(39)`.


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