2. (Binomial model) Consider a roulette wheel with 38 slots, ofwhich 18 are red, 18 are black, and 2 are green (0 and 00). Youspin the wheel 6 times.
(a) What is the probability that 2 of those times the ball endsup in a green slot? (
b) What is the probability that 4 of those times the ball endsup in a red slot?
3. (Normal approximation to binomial model) Take the roulettewheel from question 2. Assume that the wheel is spun 100 times, andyou are interested in whether the ball ends up in a red slot.
(a) Verify that you can use the normal model here.
(b) Find the probability that the ball ends up in a red slot atleast 60 times.
