Answer:
[tex]\frac{8}{15} \times \frac{8}{15}=\frac{64}{225}[/tex]
Step-by-step explanation:
Given : 3 blue chips
4 pink chips
8 white chips
To Find: What is the probability that Gail takes out a white chip in both draws with replacement?
Solution:
Blue chips =3
Pink chips =4
White chips =8
Total chips = 3+4+8 =15
Now Probability of getting white chip on first draw = [tex]\frac{\text{Number of white chips }}{\text{Total no. of chips}}[/tex]
= [tex]\frac{8}{15}[/tex]
Now ,She replaces the chip and then takes out another chip from the bag.
So, Probability of getting white chip on second draw = [tex]\frac{8}{15}[/tex]
Probability of getting white chip in both draws = [tex]\frac{8}{15} \times \frac{8}{15}=\frac{64}{225}[/tex]
Hence the probability that Gail takes out a white chip in both draws is [tex]\frac{8}{15} \times \frac{8}{15}=\frac{64}{225}[/tex]
Thus Option D is correct.
