Question

There were 6 white socks and 4 black socks in a drawer. If you pick one sock without looking and then another without looking (not replacing the first), what is the probability that you pick two white socks?

Answer 1

Answer: 1/3

Step-by-step explanation:6*5/2 is number of ways that work. This is 15. There are 10*8/2=45 total ways. 15/45=1/3.

Answer 2

the probability of picking two white socks is 1/3, or approximately 0.333.

Explanation:

When choosing the first sock, there are 10 socks in total, and 6 of them are white. Therefore, the chance of picking a white sock on the first try is 6/10 or 3/5.

When picking the second sock, there are only 9 socks left in the drawer, since we did not replace the first sock. Of the remaining socks, 5 are white (since we did not replace the first white sock) and 4 are black. Therefore, the probability of picking a white sock on the second try, given that we picked a white sock on the first try, is 5/9.