Question

You have 10 socks in the sock drawer and none of them are folded together (all mixed up), 2 red, 2 blue, 2 white, 2 green, and 2 black.

What is P(red then red)?

Answer 1

2.2%

Explanation:

The probability of drawing a red sock on the first draw is 2/10, or 1/5, since there are 2 red socks out of 10 total socks. After the first red sock is drawn, there will be only 1 red sock left in the drawer, out of a total of 9 socks. Therefore, the probability of drawing another red sock on the second draw is 1/9.

To find the probability of both events happening (drawing a red sock on the first draw and then drawing another red sock on the second draw), we multiply the probabilities of each event:

P(red then red) = P(red on first draw) × P(red on second draw | red on first draw)

P(red then red) = (2/10) × (1/9)

P(red then red) = 1/45

Therefore, the probability of drawing two red socks in a row is 1/45, or approximately 0.022 or 2.2%.