Can someone tell me how to start to solve this
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
5/12 * 4/12 =
Thanks Henry. But I need to figure out to solve it.
5/12 * 4/12 = 5/12 * 1/3 = 5/36.
Thank you thank you thank you
To solve this probability problem, we need to determine the probability of two events happening consecutively. In this case, we want to find the probability of choosing a red marble followed by choosing a white marble if the marbles are replaced after each selection.
Step 1: Find the probability of choosing a red marble on the first draw.
There are a total of 4 white marbles, 3 blue marbles, and 5 red marbles.
So, the probability of choosing a red marble on the first draw is 5/12.
Step 2: Find the probability of choosing a white marble on the second draw.
After replacing the first marble, there are still 4 white marbles, 3 blue marbles, and 5 red marbles.
So, the probability of choosing a white marble on the second draw is also 4/12 or 1/3.
Step 3: Multiply the probabilities of the two events.
To find the probability of both events occurring, we multiply the probabilities of each event.
Probability of choosing a red marble on the first draw: 5/12
Probability of choosing a white marble on the second draw: 1/3
So, the overall probability is (5/12) * (1/3) = 5/36.
Therefore, the correct answer is option B: 5/36.