37. socks. in your sock drawer you have 4 blue socks, 5 grey socks, and 3 black ones. half asleep one morning, you grab 2 socks at random and put them on. find the probability you end up wearing a) 2 blue socks. b) no grey socks. c) at least 1 black sock. d) a green sock.

a)

b)

c)

d)

Step-by-step explanation:

Given,

Number of blue socks = 4,

Grey socks = 5,

Black socks = 3,

Total socks = 4 + 5 + 3 = 12,

Ways of choosing any 2 socks =

= 66,

a) Ways of choosing 2 blue socks =

= 3,

Since,

Thus, the probability of selecting 2 blue socks =

b) Ways of choosing 2 shocks, non of them are grey socks =

Thus, the probability of selecting no grey socks =

c) ways of selecting atleast 1 black sock = ways of selecting 1 black sock + ways of selecting 2 black socks

= 30,

Thus, the probability of selecting at least 1 black sock =

d) Ways of selecting a green sock =

= 35,

Thus, the probability of selecting a green sock =

c

step-by-step explanation:

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