Asock drawer contains 18 blue socks and 10 black socks. if two socks are randomly drawn from the drawer without replacement, what is the probability that two blue socks are drawn? a.17/42 b.6/14 c. 81/196 d. 153/392

Probability is the number of desirable choices divided by the number of total choices. The first time you draw a sock you want blue, so it is 18/(10+18) or 18/28. You can simplify that to 9/14. The second time you want another blue sock, but there is one less blue sock in the drawer and there's one less sock in the drawer. The probability of getting a blue sock is 17/27. We multiply these 2 fractions, (9/14)x(17/27) to get the final answer, 153/378. We can simplify both of these numbers by 9 to get the simplified answer, 17/42.
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