A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.

There are 15 marbles total, and 4 are green, so the probability of drawing a green marble on each draw is 4/15. Because the first marble is replaced, the draws have the same probability, and the expected number of green marbles in two draws is 2 × 4/15 = 8/15 ≈ 0.53. The correct choice is 0.53.

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