A bag contains 4 white, 3 blue, and 5 red marbles.
1. Find the probability of choosing a red marble, then a white marble if the marbles are replaced
A: 1/12
B: 5/36
C: 5/6
D: 5/12
The probability of choosing a red marble on the first draw is 5/12. After replacing the first marble, there are now 4 white marbles and 5 red marbles left in the bag, so the probability of choosing a white marble on the second draw is 4/9. To find the probability of both events happening, we multiply the probabilities:
(5/12) x (4/9) = 5/27
So the answer is not one of the choices given.