SOLUTION: Working with Events: Suppose your top drawer contains different colored socks: 10 are white, 8 are black, 14 are pink, and 12 are blue. All socks in the drawer are loose (unpai

Question 1061925:
Working with Events: Suppose your top drawer contains different colored socks: 10 are white, 8 are black, 14 are pink, and 12 are blue. All socks in the drawer are loose (unpaired). In the morning, you randomly select two socks, one at a time.
What is the probability that you get either a white pair or a blue pair of socks?

Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Chance that the first sock is white:
10/44 = 5/22
If the first sock is white, chance that the second sock is white:
(10-1)/(44-1) = 9/43
Chance of getting a white pair:
(5/22) * (9/43) = 45/946
:
Chance that the first sock is blue:
12/44 = 3/11
If the first sock is white, chance that the second sock is blue:
(12-1)/(44-1) = 11/43
Chance of getting a blue pair:
(3/11) * (11/43) = 3/43
:
Put it all together:
(45/946) + (3/43) = 111/946
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