Anna and Charles have a bag that contains 1 black marble and 1 white marble. They are playing a game where they randomly select a marble out of the bag three times, with replacement Anna thinks that the probability of getting a black marble on the first selection and a black marble on the third selection is greater than the probability of getting a black marble on the first selection and a white marble on the third selection. Charles disagrees. He thinks that the two probabilities are equal. The sample space of possible outcomes is listed below. B represents a black marble, and W represents a white marble. Who is correct, Anna or Charles?

Question

Anastasia Ayers

Mathematics

13 November, 12:37

Anna and Charles have a bag that contains 1 black marble and 1 white marble. They are playing a game where they randomly select a marble out of the bag three times, with replacement Anna thinks that the probability of getting a black marble on the first selection and a black marble on the third selection is greater than the probability of getting a black marble on the first selection and a white marble on the third selection. Charles disagrees. He thinks that the two probabilities are equal. The sample space of possible outcomes is listed below. B represents a black marble, and W represents a white marble. Who is correct, Anna or Charles?

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Answers (1)

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Shirley Everett · Answer 1

Answer: Charles

Step-by-step explanation:

Either it is the third selection or the first, what matters is that there is only one white ball and 1 black ball.