PLEASE ANSWER ALL THREE PARTS WITH STEP-BY-STEP EXPLANATION AND ANSWER!

Suppose when Regan goes to Starbucks there is a 2/ 3 chance she gets a chai latte and a 1/3 she gets a mocha. If she gets a mocha there is a 4/5 chance gets whip cream on top. Also, when she goes to Starbucks, there is a 1/4 chance she gets a chocolate croissant, a 1/4 chance she gets a coffee cake, and a 1/2 chance she gets no snack. (The drink she orders and the snack she orders are independent events.) (a) What is the probability that Regan goes to Starbucks and gets a chai latte and no snack? (b) What is the probability that she gets a mocha with whip cream given she does not get a chai latte and she does get a snack? (c) What is the expected number of times Regan must go to Starbucks to get a mocha with whip cream or a chocolate croisscant