A drawer contains loose socks. There are 2 blue and 4 black socks in the drawers. What is the probability that you choose a sock

Question

2 years ago

11

without looking, then choose a second sock (keeping the first in your hand) without looking, and end up with a pair of black socks?

1 answer:

stepladder [879] · Answer 1 · 2023-12-23T07:12:07+03:00

The probability is p = 2/5, the correct option is the third one.

<h3>How to find the probability?</h3>

There is a total of 6 socks, such that 4 are black and 2 are blue.

Then the probability of first getting a black sock is the quotient between the number of black socks and the number of blue socks, which gives:

P = 4/6

Now there are 5 socks in total, such that 3 are black and 2 blue.

Then the probability of getting another black one is:

Q = 3/5

The joint probability (getting the two black socks) is given by the product of the individual probabilities:

p = (4/6)*(3/5) = 2/5

The correct option is the third one.

If you want to learn more about probability:

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