A sock drawer has 2 blue pair, 4 white pair, and 4 black pair what is the probability you can pick out 1 blue, 1 white, and 1 black you replace each pair after picking

1 answer

The total number of pairs of socks in the drawer is 10 (2 blue, 4 white, 4 black).

To find the probability of picking out 1 blue pair, 1 white pair, and 1 black pair when replacing each pair after picking, we can calculate the probability of each event happening and then multiply the probabilities together.

The probability of picking a blue pair is 2/10 = 1/5.
The probability of picking a white pair is 4/10 = 2/5.
The probability of picking a black pair is 4/10 = 2/5.

So, the probability of picking out 1 blue pair, 1 white pair, and 1 black pair when replacing each pair after picking is:

(1/5) * (2/5) * (2/5) = 4/125 ≈ 0.032

Therefore, the probability of picking out 1 blue, 1 white, and 1 black pair in the described scenario is approximately 0.032 or 3.2%.