Question: There are 5 different types of treats in a child’s Halloween bag. 43 of them are Smarties, 29 of them are candy corn, 111 of them are chocolate bars, and 7 of them are apples (because that will negate all the candy).

a) Selecting 5 at random, what is the Probability of getting no apples?

b) Selecting 5 at random, what is the Probability of getting all Smarties or all candy corn?

c) Selecting only 2, one at a time, without replacement, what is the probability of the second being an apple given the first was not an apple?

d) The child, really craving a Smartie, tries 3 times to find one, each time putting back his selection. What is the Probability of him not getting a Smartie?

e) The chance you catch a fish is 25% each time you cast if you haven’t already caught a fish, and 50% if you have already caught a fish. If you caught your 2nd fish on your 3rd cast, what is the Probability you caught your 1st fish on your 1st cast? (hint: use a tree diagram)