Question

A bag of chips contains 6 red chips, 9 white chips, and 5 blue chips. A chip is selected, then another chip is selected (with replacement). What is the probability of both chips being white?

Option 1: 0.18
Option 2: 0.2025
Option 3: 0.225
Option 4: 0.25

Answer 1

The probability of selecting two white chips from the bag is 81/400, or 0.2025.

Step-by-step explanation:

To find the probability of selecting two white chips from the bag, we first need to find the probability of selecting one white chip. There are a total of 20 chips in the bag (6 red, 9 white, and 5 blue), so the probability of selecting a white chip on the first draw is 9/20. Since the chip is replaced after each draw, the probability of selecting a white chip on the second draw is also 9/20. To find the probability of both chips being white, we multiply the two probabilities together: (9/20) * (9/20) = 81/400. Therefore, the correct answer is Option 2: 0.2025.