Question

A marble is to be selected from a bag of marbles at the same time a spinner is spun. The probability of selecting a green marble out of the bag and the spinner landing on the color green is 0.76. The probability of landing on the color green on the spinner is 0.8. What is the probability of selecting a green marble out of the bag?

Answer 1

Let event A be selecting a green marble and event B be landing on the color green on the spinner.

We have:
P(A and B) = P(A) * P(B)
0.76 = P(A) * 0.8
P(A) = 0.76 / 0.8
P(A) = 0.95

Therefore, the probability of selecting a green marble out of the bag is 0.95.