We are also given a series of questions and, in the process of finding the answers to these questions, are asked to identify which of them is different. Let's answer each question one by one so that we can see which one is different!
We can identify the intersection of A and B in the diagram.
We can see that there are 2 outcomes in the intersection of A and B. This outcome represents the probability of both A and B occurring, P(AandB).
P(AandB)= 2
Second Question
Now, let's look at the second question.
How many outcomes are shared by both A and B?
The outcomes that are shared by both A and B are those found in the intersection of A and B.
There are 2 outcomes shared by both A and B. Just as with the first question, this outcome represents the probability that both A and B occur, P(AandB).
P(AandB)= 2
The outcomes in the union of A and B are the outcomes that are either A or B.
We can see that there are 9 outcomes in the union of A and B. This outcome represents the probability P(AorB).
P(AorB)= 9
Fourth Question
Finally, let's consider the fourth question.
How many outcomes in B are also in A?
Let's distinguish the outcomes in B that are also in A.
There are 2 outcomes in B that are also in A. The phrasing of this question is also asking for the intersection of A and B.
P(AandB)= 2
Conclusion
The answer to the first, second, and fourth question is P(AandB)= 2. On the other hand, the answer to the third question is P(AorB)= 9. Therefore, the third question is the different one.
