Final answer:
The probability that Kaylee will choose a blue pair of flip-flops on Monday and a pink pair on Tuesday, without replacement, is 1 out of 20.
Step-by-step explanation:
The subject of this question is probability, a topic within Mathematics, and it is typically covered at a high school level. To find the probability that Kaylee will choose a blue pair of flip-flops on Monday and a pink pair on Tuesday, we calculate the probabilities step by step, considering that she will not replace the pairs she wears.
Initially, Kaylee has 3 blue pairs of flip-flops out of a total of 16 pairs (1+3+2+5+1+4). The probability that she picks a blue pair on Monday is therefore 3 out of 16, or P(blue on Monday) = 3/16.
After picking a blue pair on Monday, Kaylee has 15 pairs remaining, including 4 pink pairs. The probability she picks a pink pair on Tuesday is 4 out of 15, since one pair (blue) has been removed and won't be replaced. The probability of picking a pink pair on Tuesday is P(pink on Tuesday) = 4/15.
To find the probability of both events happening in sequence, we multiply the individual probabilities: P(blue on Monday and pink on Tuesday) = P(blue on Monday) × P(pink on Tuesday) = (3/16) × (4/15) = 12 out of 240, which can be simplified to 1 out of 20.