Example: 11 | |
For two events and , find the probability that exactly one of the two events occur.
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Solution: 11 | |
This can happen in two ways:
Note that the two ways are . Thus, the required probability is , which from the second relation becomes
Justify this last expression using a Venn diagram, by shading the area it represents.
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Example: 12 | |
For two events and , show that |
Solution: 12 | |
This is straightforward, since
Now, since are mutually exclusive, we must have
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