Suppose there are 3 red balls and 97 blue balls in a box with 100 balls at total. Suppose all the balls are identical except for the color difference. Draw with replacement 200 times. The probability of not drawing any red ball is closest to:

a) e^(-2)

b) e^{-3}

c) e^(-6)

d) e^(-97)

Shichao is rolling a six-sided die until any single number shows up for the fifth time.

Let X be the number of rolls until Shichao stops. Then the distribution of X is:

a)Hypergeometric

b)Binomial

c)Negative Binomial

d)Geometric

e)Poisson

f)None of the above