A nationwide survey showed that 65% of all children in the U.S. dislike eating vegetables. If three children are chosen at random, what is the probability that all three dislike eating vegetables? Write as a percent to the nearest tenth.
18%
(65/100)^4=18
To find the probability that all three children dislike eating vegetables, we need to multiply the individual probabilities of each child disliking vegetables.
Given that 65% of all children in the U.S. dislike eating vegetables, the probability of any child disliking vegetables is 0.65. Since three children are chosen at random, we need to multiply this probability three times.
0.65 * 0.65 * 0.65 = 0.274625
To convert this decimal probability into a percent to the nearest tenth, we multiply by 100.
0.274625 * 100 = 27.5 (rounded to the nearest tenth)
Therefore, the probability that all three children chosen at random dislike eating vegetables is 27.5%.