Question

What is the probability you will select a red marble and then a white marble from two bags, each with 50 marbles, where 14 are red, 10 are blue, and the rest are white in each bag? (Round to the 4th decimal place)

Answer 1

The probability of selecting a red marble and then a white marble from two bags, each with 50 marbles, where 14 are red, 10 are blue, and the rest are white in each bag is 0.168.

Step-by-step explanation:

To find the probability of selecting a red marble and then a white marble from two bags, we need to calculate the probabilities for each step and multiply them together. In each bag, there are 14 red marbles, 10 blue marbles, and the rest are white. So the probability of selecting a red marble from the first bag is 14/50, and the probability of selecting a white marble from the second bag is 30/50 (since one red marble has already been removed). Therefore, the probability of selecting a red marble and then a white marble is (14/50) * (30/50) = 0.168.