Question

Sydney has five pink socks, six yellow socks and four red socks in her drawer.

What is the probability that she'll randomly pick a yellow sock, put it on, then
randomly pick a pink sock?

Answer 1

To find the probability of randomly picking a yellow sock, putting it on, and then randomly picking a pink sock, you multiply the probabilities of each event occurring. The probability is 1/7 or approximately 0.143.

Step-by-step explanation:

To find the probability that Sydney will randomly pick a yellow sock, put it on, and then randomly pick a pink sock, we need to calculate the probability of each event occurring.

1. The probability of picking a yellow sock is 6/15 since there are 6 yellow socks out of a total of 5 pink socks + 6 yellow socks + 4 red socks.
2. After putting on a yellow sock, there are 14 socks left in the drawer, including 5 pink socks and 4 red socks.
3. The probability of picking a pink sock from the remaining socks is 5/14.

To find the probability of multiple independent events occurring in sequence, we multiply the probabilities of each event. So the probability of randomly picking a yellow sock, putting it on, and then randomly picking a pink sock is (6/15) * (5/14) = 1/7 or approximately 0.143.