Question

Penny is vacationing at the beach and decides to purchase a pair of swim goggles and a

sand bucket which she randomly selects off the shelf. When she realizes that they are
both green, she states that "because she selected a green pair of swim goggles, she was
more likely to select a green sand bucket." Do you agree or disagree with Penny's
statement? Justify your thinking

Answer 1

Answer: I disagree with Penny's statement. The probability of her selecting a green pair of swim goggles and then a green sand bucket is the product of their individual probabilities. The fact that she selected a green pair of swim goggles does not change the probability of selecting a green sand bucket. Each selection is independent of the other, and the probabilities of each event remain the same. So, Penny's statement that "because she selected a green pair of swim goggles, she was more likely to select a green sand bucket" is not valid.

Explanation: