Problema Solution

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

Eliminate

D)

5

6

Answer provided by our tutors

P(red) = 5/(5 + 3 + 2 + 2) = 5/12


P(green) = 2/(5 + 3 + 2 + 2) = 2/12 = 1/6


P(red and green) = P(red)*P(green)


P(red and green) = (5/12)*(1/6)


P(red and green) = 5/72


P(red and green) = 0.0694