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8 couples attend a dance show.For a prize, a lucky draw in which 4 persons are picked up for a prize is held.The probability that there is atleast one couple will be selected is _____

8 couples attend a dance show.For a prize, a lucky draw in which 4 persons are picked up for a prize is held.The probability that there is atleast one couple will be selected is _____

Grade:12th pass

1 Answers

Arun
25750 Points
6 years ago
P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)
 = 1 –  (16C1 * 14C1 * 12C1 * 10C1 / 16C4)
 = 1 – 24/39
 = 15/39 
hope it helps

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