Answer:
\(\frac{8}{15} \times \frac{8}{15}=\frac{64}{225}\)
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 = \(\frac{\text{Number of white chips }}{\text{Total no. of chips}}\)
= \(\frac{8}{15}\)
Now ,She replaces the chip and then takes out another chip from the bag.
So, Probability of getting white chip on second draw = \(\frac{8}{15}\)
Probability of getting white chip in both draws = \(\frac{8}{15} \times \frac{8}{15}=\frac{64}{225}\)
Hence the probability that Gail takes out a white chip in both draws is \(\frac{8}{15} \times \frac{8}{15}=\frac{64}{225}\)
Thus Option D is correct.
