Discuss the below:
Q1: a. For the events A and B, if (A'nB') = Ø , then the events are exhaustive.(True or false)
b. For two events A and B, if P(A)=.3, P(B)=.25, and P(AUB)=.50, then A and B are mutually exclusive (True or false)
2. A raffle is being held at a school to raise money for the library. The organizers sell 40 tickets. They will select 4 winning tickets at random for prizes.
a) How many different combinations of 4 winning tickets can there be?
b) Suppose you hold 6 tickets. What is the probability that you will win exactly 2 out of the 4 prizes.