Question

(07.01 MC) (Independent Probability) The number of chips of different colors in Amy's bag is shown below:Compund Probability 8 blue chips 9 pink chips 1 black chip Amy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Amy takes out a pink chip in both draws? (5 points) Group of answer choices 9 over 18 plus 8 over 17 equals 297 over 306 9 over 18 multiplied by 8 over 17 equals 72 over 306 9 over 18 plus 9 over 18 equals 18 over 18 9 over 18 multiplied by 9 over 18 equals 81 over 324

Answer 1

The correct option is:

"9 over 18 multiplied by 9 over 18 equals 81 over 324"

Explanation:

The number of chips of different colors in Amy's bag is:

Blue (B): 8

Pink (P): 9

Black (Bk): 1

TOTAL (N): 18

It is provided that Amy selects two chips from the bag with replacement.

Compute the probability that Amy takes out a pink chip in both draws as follows:

P (2 Pink Chips) = P (1st Pink Chip) × P (2nd Pink Chip)

= P (P) × P (P)

= [P (P)]²

`=[(9)/(18)]^(2)\\\\=(0.50)^(2)\\\\=0.25`

Thus, the probability that Amy takes out a pink chip in both draws is 0.25.

The correct option is:

"9 over 18 multiplied by 9 over 18 equals 81 over 324"