1)  You are at Mohegan Sun watching the outcomes of roulette wheel. This is special wheel with only red and black numbers, no 0 or 00 (green). There are equal number of red numbers and black numbers on wheel (19 each) and each spin is considered fair.

a) Determine the probability that out of 20 spins, at most 8 come up black?

b) Determine the probability that out of 20 spins, 10 come up black?

c) Determine the probability that out of 20 spins, at least 10 come up black?

d) If 16 out of 20 spins just came up black, determine the probability that next spin is going to be red?

e)  Describe the above answer