Question

The number of chips of different colors in Gail's bag is shown below:

Answer 1

Most likely the probability is D because my mom said it is d i dont know how she got it

Answer 2

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.