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

Answer:

The correct answer is C) $\frac{2}{19}$

Step-by-step 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 $\frac{5}{20}$

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,

$\frac{5}{20}\times \frac{8}{19} 0\frac{40}{380} =\frac{2}{19}$

Answer 2

It should  be B.
correct me if i'm wrong