Question

Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that Jerome will get a green or yellow marble on the first draw and a pink on the second draw?

Answer 1

7/50

Explanation:

Answer 2

Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
Event B - get a pink marble

Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.

`P(A)= (3+4)/(3+4+5+8)= (7)/(20) \\P(B)= (8)/(3+4+5+8)= (8)/(20) = (2)/(5)`

Probability of combined events is

`P(A) * P(B)=(7)/(20) * (2)/(5) =(7)/(50)`