Three families A, B, and C, are bidding on the same one -family house. The probabilities are $0.20,0.25$, and 0.28 , respectively, that a given family eventually moves into the house.
-In the situation above, if $A$ is the event that family $A$ moves into the house, and $B$ is the event that family $B$ moves into the house, the events $\mathrm{A}$ and $\mathrm{B}$ are
A) independent.
B) mutually exclusive.
C) complementary.
D) none of these.

Question

Three families A, B, and C, are bidding on the same one -family house. The probabilities are $0.20,0.25$, and 0.28 , respectively, that a given family eventually moves into the house.
-In the situation above, if $A$ is the event that family $A$ moves into the house, and $B$ is the event that family $B$ moves into the house, the events $\mathrm{A}$ and $\mathrm{B}$ are 
A) independent.
B) mutually exclusive.
C) complementary.
D) none of these.

Quizplus · Accepted Answer

Mutually exclusive events are those that cannot happen at the same time. Since only one family can move into the one-family house, if family A moves in, family B cannot, and vice versa, making the events mutually exclusive.

Three Families A, B, and C, Are Bidding on the Same