2. There are two events, A and B, where pr(A)=.4 and pr(B)=.7. a) What is the minimum value of the intersection, AnB? (5 points) b) What is the intersection if these events are independent? (10 points) 3. A 17" century mathematician and philosopher, who developed many aspects of probability theory to gain an advantage in gambling, is credited with creating this famous diagram: 2 3 3 4 6 4 a) What, according to the pattern, will be the next three rows? (12 points) b) For smaller numbers, using this diagram may be a faster way of calculating what formula from chapter 4? (8 points) 4. NFL teams play 17 games per season. The win probability for each game for the Washington Commanders is .450. What is the probability that the team wins 13 or more games this season? (20 points)