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Chapter 3: Q. 3.28 (page 206)

Roll a fair, six-sided die. Let A = a prime number of dots is rolled. Let B = an odd number of dots is rolled. Then A = {2, 3, 5} and B = {1, 3, 5}. Therefore, A AND B = {3, 5}. A OR B = {1, 2, 3, 5}. The sample space for rolling a fair die is S = {1, 2, 3, 4, 5, 6}. Draw a Venn diagram representing this situation.

Short Answer

Expert verified

The Venn diagram is as follows:

Step by step solution

01

Given Information

Roll a fair, six-sided die. Let A= a prime number of dots is rolled. Let B= an odd number of dots is rolled. Then A={2,3,5}and B={1,3,5}. Therefore, AANDB={3,5}and ARB={1,2,3,5}. The sample space for rolling a fair die is S={1,2,3,4,5,6}.

02

Calculation

We have

Sample space for rolling a fair die is S={1,2,3,4,5,6}

Event A= a prime number of dots is rolled

Event B= an odd number of dots is rolled.

A={2,3,5}B={1,3,5}AANDB={3,5}AORB={1,2,3,5}

Thus, Venn diagram is as follows

03

Conclusion

Hence, the Venn diagram representing the situation is sketched.

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Most popular questions from this chapter

After Rob Ford, the mayor of Toronto, announced his plans to cut budget costs in late 2011, the Forum Research polled 1,046people to measure the mayor鈥檚 popularity. Everyone polled expressed either approval or disapproval. These are the results their poll produced:

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