Paul's dresser has 10 loose socks that can make 5 different pairs. If Paul reaches into the drawer and randomly picks 2, socks what is the probability that they match?

A1/2
B1/5
C1/10
D1/45

P.s Please explain how u worked it out :) thanks:p

2/10 - 1/5

Thanks u:p

To solve this problem, we need to first analyze the situation and understand the given information.

We know that Paul's dresser has 10 loose socks, and these can be used to make 5 different pairs. This means that there are 5 pairs of socks that match each other, and there are also some unmatched socks.

Now let's calculate the probability of picking two matching socks.

When Paul reaches into the drawer and picks out one sock, there are 10 socks to choose from. After he picks one sock, there will be 9 socks left in the drawer.

To calculate the probability of picking a matching sock on the second pick, we need to consider the number of matching socks that are left in the drawer. Since there are 5 pairs of matching socks, there are 5 matching socks left after the first pick.

Therefore, the probability of picking a matching sock on the second pick is 5/9.

To calculate the overall probability of picking two matching socks, we need to multiply the probability of picking a matching sock on the first pick by the probability of picking a matching sock on the second pick.

So, the probability of picking two matching socks is (1/10) * (5/9) = 1/18.

Therefore, none of the given options (A, B, C, D) is correct. The correct answer is 1/18.