Question

A box of matching game pieces contains 8 red pieces, 5 green pieces, and 7 yellow pieces. You reach in and randomly take out one piece and then a second piece. Find the probability of drawing a green piece followed by a red piece.

A) 10/39
B) 1/10
C) 2/19
D) 7/76

Answer 1

2/19

Explanation:

Answer 2

The correct answer is C)
`(2)/(19)`

Explanation:

Step 1

We start by breaking up the process into 2 parts. The first part of the process is finding the probability of selecting a green piece out of 20 pieces. Since there are 5 green pieces, this probability is
`(5)/(20)`

Step 2

The second part of this process is that of selecting a red piece out of 19 pieces since the first piece was not replaced. If the first piece was green, taken without replacement, there are now 8 red pieces out of 19 pieces in total

Step 3

The next step is t find the probability using the multiplication rule. To find the probability of finding green piece followed by a red piece we just multiply the probabilities from step 1 and 2.

The calculation for this process is shown below,

`(5)/(20)*  (8)/(19) 0(40)/(380) =(2)/(19)`