8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is :
Solution
Correct Answer: Option B
P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)
= \(1-\left(\frac{{16}_{C_1}\times\;{14}_{C_1}\times{12}_{C_1}\times{10}_{C_1}}{{16}_{C_4}}\right)=\frac{15}{39}\)
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