Question

A nationwide survey showed that 65% of all children in the united states dislike eating vegetables. If 4 children are chosen at random, what is the probability that all 4 dislike eating vegetables? (round your answer to the nearest percent.)

Answer 1

The probability that all 4 dislike eating vegetables is 17.85%.

Explanation:

Given : The probability that a child  in the united states dislikes eating vegetables = 0.65

Since each child is independent from each other.

If 4 children are chosen at random, then the probability that all 4 dislike eating vegetable = (0.65) x (0.65)x (0.65)x (0.65)

$=(0.65)^4\\=0.17850625\sim 17.85\%$

Hence, the probability that all 4 dislike eating vegetables is 17.85%.

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