Assume there are 700 colors. 322 reds. 336 blues. 42 neutrals. We sample 70 of them.

a) What is the probability of only getting only blues and reds?

b) What is the expected value of the number of simple random samples of size 70 that must be drawn until (and including) the first sample that contains at least one color that is neither a blue nor a red if you repeatedly drawing simple random samples of size 70 (taking each simple random sample from the full population of 700)?

Answers I got:

a) .01038

b) 1.01048887451749

Can somebody explain to me how it's done?