American insurance four white three blue and five red marbles find the probability of choosing a red marble then a white marble if the marbles are replaced
First, we need to find the total number of marbles:
4 white + 3 blue + 5 red = 12 marbles
The probability of choosing a red marble on the first draw is:
P(red) = 5/12
Since the marbles are replaced, the probability of choosing a white marble on the second draw is also:
P(white) = 4/12 = 1/3
To find the probability of both events occurring, we multiply the two probabilities:
P(red, then white) = P(red) x P(white)
P(red, then white) = (5/12) x (1/3)
P(red, then white) = 5/36
Therefore, the probability of choosing a red marble then a white marble (with replacement) is 5/36.