Question

A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles. What is the probability that you choose a red marble and then a green marble assuming you replace the first marble?

A)1/24
B)5/72
C)5/66
D)5/6
(And could you explain how you got the answer please?)

Answer 1

The answer will be B.
First you need to find the probability of the red marbles which is 5/12 because there is 5 marbles and if you add they up there would be 12. Then you find the probability of the green marbles which is 2/12. After that you need to multiply them. 5/12 × 2/12. Your answer will be 10/144 but then you can simply by 2.
So your answer will be 5/72.
Hope this helped.