Maria decides to keep placing a $1 bet on number 15 in consecutive spins of a roulette wheel until she wins. On any spin, there's a 1-in-38 chance that the ball will land on the number 15. Let R = the number of spins of the roulette wheel that it takes until she wins. 12.) Explain why R is a Geometric random variable (in context).

13.) How many spins would you expect it to take for Maria to win?

14.) What is the probability that it takes Maria exactly 3 spins to win for the first time?

15.) What is the probability that it takes Maria more than 3 spins to win for the first time?