This summer, a family knows they will take their vacation in Michigan, Minnesota, or Wisconsin. While on vacation, their main activity will be hiking or bicycling. How many combinations of main activity and state (for example, bicycling in Wisconsin) are possible?
At a new baseball stadium, the number of seats in each section follows:
Section Number of Seats
Lower Box 15,000
Upper Box 20,000
Bleachers 5,000
40,000
Assume that you have won a randomly selected seat for the next home game. What is the probability that you won a lower box seat?
At a new baseball stadium, the number of seats in each section follows:
Section Number of Seats
Lower Box 15,000
Upper Box 20,000
Bleachers 5,000
40,000
Assume that you have won a randomly selected seat for the next home game and have determined the probability that you won a lower box seat. Which method of assigning probability was used?
The complement of event G is everything that is
P(A) = 0.6, P(B) = 0.5, so P(AÈB)=
P(A) = 0.6, P(B) 0.5, and P(AÇB) = 0.3, so P(AÈB) =
P(A) = 0.6, P(B) = 0.5, and P(AÇB) = 0.3, so P(A|B) =
P(A) = 0.6, P(B) = 0.5, and P(AÇB) = 0.3, so events A and B are mutually exclusive.
P(A) = 0.6, P(B) = 0.5, and P(AÇB) = 0.3, so events A and B are independent.
P(A) = 0.2, P(B) = 0.5, and events A and B are mutually exclusive. P(AÇB) =
P(A) = 0.2, P(B) = 0.5, and events A and B are mutually exclusive. P(AÈB) =
P(A) = 0.2, P(B) = 0.5, and events A and B are mutually exclusive. P(A|B) =
P(A) = 0.2, P(B) = 0.5, and events A and B are mutually exclusive. Since events A and B are mutually exclusive, they must be independent.
At the end of the spring semester, a student mentioned that her family knew they would take their vacation in the upper Midwest. The family was 50% sure that the vacation would be in Wisconsin., 30% sure that the vacation would be in Minnesota, and 20% sure that the vacation would be in Michigan. If the vacation was in Wisconsin, there was a 40% chance that the main activity would be bicycling. If the vacation was in Minnesota, there was a 50% chance that the main activity would be bicycling. If the vacation was in Michigan, there was a 10% chance that the main activity would be bicycling. What is the probability that the main activity was bicycling?
At the end of the spring semester a student mentioned that her family knew they would take their vacation in the upper Midwest. The family was 50% sure that the vacation would be in Wisconsin., 30% sure that the vacation would be in Minnesota, and 20% sure that the vacation would be in Michigan. If the vacation was in Wisconsin, there was a 40% chance that the main activity would be bicycling. If the vacation was in Minnesota, there was a 50% chance that the main activity would be bicycling. If the vacation was in Michigan, there was a 10% chance that the main activity would be bicycling. When the student returned for the fall semester, she mentioned that the family's main activity was bicycling. What is the probability that the family's vacation was in Wisconsin?