Answer:
The correct answer is C) [tex]\frac{2}{19}[/tex]
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 [tex]\frac{5}{20}[/tex]
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,
[tex]\frac{5}{20}\times \frac{8}{19} 0\frac{40}{380} =\frac{2}{19}[/tex]
