A Jar has 9 white marbles and 6 black marbles. What is the probability of selecting a black marble, replacing it in the jar, and then selecting a white marble P(black and then white)?

Answer 1

The probability of selecting a black marble on the first draw is 6/15, or 2/5. Since the black marble is replaced before the second draw, the probability of selecting a white marble on the second draw is also 9/15, or 3/5. To find the probability of both events happening, we multiply their probabilities:

P(black and then white) = P(black) x P(white)

P(black and then white) = (2/5) x (3/5)

P(black and then white) = 6/25

Therefore, the probability of selecting a black marble, replacing it, and then selecting a white marble is 6/25.