Question

Kaylee has 1 red, 3 blue, 2 brown, 1 purple, and 4 pairs of pink flip flops in her closet. Assuming she always replaces them, what is the probability that she will choose a blue pair on Monday and a pink pair on Tuesday? (Compound Probability)

Answer 1

The compound probability that Kaylee will choose a blue pair of flip flops on Monday and a pink pair on Tuesday is 3/16, calculated by multiplying the probability of choosing blue (3/8) by the probability of choosing pink (1/2).

Step-by-step explanation:

To calculate the compound probability of Kaylee choosing a blue pair of flip flops on Monday and a pink pair on Tuesday, we need to consider the total number of flip flops and the number of flip flops in each color.

Kaylee has 1 red, 3 blue, 2 brown, 1 purple, and 4 pink pairs of flip flops. This totals to 1 + 3 + 2 + 1 + 4(2) = 16 flip flops since each pair is counted as two individual flip flops.

Probability of Choosing Blue on Monday:

The probability of choosing a blue pair on Monday is the number of blue flip flops divided by the total number of flip flops, which is 3 pairs (or 6 flip flops) out of 16 flip flops, giving us a probability of 6/16 or 3/8 after reducing.

Probability of Choosing Pink on Tuesday:

Since Kaylee replaces her flip flops after choosing them, the total remains 16 flip flops for Tuesday's choice. The probability of choosing a pink pair is the number of pink flip flops divided by the total, which is 4 pairs (or 8 flip flops) out of 16 flip flops, so the probability is 8/16 or 1/2.

To find the compound probability of both events happening, we multiply the probabilities of each independent event: (3/8) x (1/2) = 3/16.

Therefore, the compound probability that Kaylee will choose a blue pair on Monday and a pink pair on Tuesday is 3/16.

Answer 2

she has a 3 out of 11 percent chance aka 3/11

Step-by-step explanation:

There is 1 red meaning there is less of a chance to get that one unless she is lucky same goes with purple! She has 2 brown flip flops so there is more of a chance she may get that one, but 4 pairs of pink flip flops meaning she is more likely to pick pink on Tuesday then Monday. but the answer can be 3/7 if I do not count the others flip flops... but hopefully this helps...