Answer:
Explanation:
Hi there,
We know that a pair means two and so for each pair of socks he has, we are going to multiply that number by two to find the individual amount.
White socks: 2 pairs x 2 = 4 total white socks
Black socks: 4 pairs x 2 = 8 total black socks
Blue socks: 1 pair x 2 = 2 total blue socks.
Now, you add up the total amount of individual socks in the drawer.
4+8+2 = 14 socks.
We are trying the find the probability that he is going to pick a black sock. The amount of black socks is going to go on the numerator of the fraction and the total amount of socks in the drawer is going to go on the denominator.
8 black socks / 14 total socks
Now that we have this fraction, we need to simplify it. The number 8 and 14 are both divisible by 2, so we now have the fraction (4/7).
What this means is that, theoretically, if he randomly pulled out 7 socks, that 4 of the socks he pulls out should be black, leaving the probability he picks out black socks to be (4/7) of the time or about 57% likely to happen.
I hope this helps, let me know if you have questions :)