Betty and Veronica went trick-or-treating last year. Betty received eight fun-size Snickers bars, three fun-size M&M's, and six Tootsie Rolls. Veronica recieved nine fun-size Snickers bars, four fun-size M&M's, and five Tootsie Rolls.

(a)Betty and Veronica pour their candies into one big bowl and mix them together. Then they each randomly select three candies from the bowl to eat. What is the probability that exactly one of the selected pieces is a Tootsie Roll?

(b) Betty has just recently completed a statistics course. She claims that she can use a geometric distri- bution with p = 17 to determine the probability that she would select her first Snickers on her sixth selection

from the bowl. Is she correct in stating that this distribution can be used to determine this probability in this scenario? Explain why/why not (one or two sentences is fine).