Question
A container contains two red, three yellow, and four green cards. Two cards are selected at random, one after the other and with replacement, from the container. Calculate the probability that both cards are yellow.
Answers
GPT 3.5
The probability of selecting a yellow card on the first draw is 3/9 since there are 3 yellow cards out of a total of 9 cards. After replacing the card, the probability of selecting a yellow card on the second draw is also 3/9.
The probability of both events happening is the product of their individual probabilities, so the probability of selecting two yellow cards is (3/9) * (3/9) = 9/81 = 1/9.
Therefore, the probability that both cards selected are yellow is 1/9.
The probability of both events happening is the product of their individual probabilities, so the probability of selecting two yellow cards is (3/9) * (3/9) = 9/81 = 1/9.
Therefore, the probability that both cards selected are yellow is 1/9.