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Exercises Probability and the bell curve

Example 3.8 from Statistics, 3.2 Independent and Mutually Exclusive Events

Independent and Mutually Exclusive Events: example 3.8

Are C and E mutually exclusive events? Answer yes or no. Why or why not?

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
No. C = {3, 5} and E = {1, 2, 3, 4}. P(C AND E) = $\frac{1}{6}$ . To be mutually exclusive, P(C AND E) must be zero.
2
Discussion
- Find P(C|A). This is a conditional probability. Recall that event C is {3, 5} and event A is {1, 3, 5}. To find P(C|A), find the probability of C using the sample space A. You have reduced the sample space from the original sample space {1, 2, 3, 4, 5, 6} to {1, 3, 5}. So, P(C|A) = $\frac{2}{3}$ .

0 of 2 steps open

How did it go?

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From Statistics (High school edition) by OpenStax (Rice University), section 3.2, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.