Suppose there are 4 blue, 4 white and 4 gray socks in a dresser. For each of the following, determine an arithmetic expression (for example 1/2 * 1/2)

a.) Pulling at sock at random, whats the probability that that sock is white?

b.) Pulling a sock at random, whats the probability its not white?

c.) Pulling a sock at random, whats the probability that it is gray or white?

d.) Pulling a sock at random, whats the probability that its white and gray?

e.) Pulling out 2 socks (at random) in a row, whats the probability both are gray?

f.) Pulling out 2 socks (at random) in a row, whats the probability that 1 is blue and then the other is gray?

g.) Pulling out 2 socks (at random) in a row, whats the probability that itdoes not have a matching pair?

h.) Pulling out 2 socks (at random) in a row, whats the probability that you do have a matching pair?

i.) Determine the number of socks you have to remove at random to guarantee that you would have a pair.

What I think:

a.) 1/3

b.) 1 - 1/3 = 2/3

c.) 2/3

d.) 0 since you're only picking out 1? Maybe hte professor meant pulling 2 socks at random - if thats the case, what would it be

e.) (1/3)(1/3) = 1/9

f.) (1/3)(1/3) = 1/9

g.) Not sure

h.) not sure

i.) not sure