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

Answer 1

5/12 for red and 2/12 for green
multiple both 10/144
the answer is B 5/72

Answer 2

Option B. 5/72

Explanation:

A bag of marbles contains :

Red marbles = 5

Blue marbles = 3

Green marbles = 2

Yellow marbles = 2

Total marbles in the bag = 5 + 3 + 2 + 2 = 12 marbles

If you choose red marble the probability to choose red is = 5/12

after replacing the probability you choose green marble is = 2/12

Probability to choose a red and then a green marble is

`(5)/(12)` ×
`(2)/(12)`

=
`(5)/(72)`

The probability that you choose a red marble and then a green marble is 5/72.