Question

A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 62 ducks floating in the pond. There are 7 ducks marked as large-prize winners, 12 ducks marked as medium-prize winners, and 24 ducks marked as small-prize winners. Find the theoretical probability of winning a small prize at the duck pond. Express your answer as a percent. If necessary, round your answer to the nearest whole.

Answer 1

Answer: 39%

Step-by-step: The probability of winning a small prize is the number of small-prize ducks divided by the total number of ducks:P(small prize) = 24 small prize ducks / 62 total ducksTo express this as a percent, we multiply by 100:P(small prize) * 100 = (24 / 62) * 100 = 38.71%Rounding to the nearest whole, the theoretical probability of winning a small prize at the duck pond is 39%.

Answer 2

Answer: 39%

Step-by-step explanation: The probability of winning a small prize is the number of small-prize ducks divided by the total number of ducks:P(small prize) = 24 small prize ducks / 62 total ducksTo express this as a percent, we multiply by 100:P(small prize) * 100 = (24 / 62) * 100 = 38.71%Rounding to the nearest whole, the theoretical probability of winning a small prize at the duck pond is 39%.