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Chapter 3: Q. 3.27 (page 204)

Suppose an experiment has outcomes black, white, red, orange, yellow, green, blue, and purple, where each outcome has an equal chance of occurring. Let event C = {green, blue, purple} and event P = {red, yellow, blue}. Then

C AND P = {blue} and C OR P = {green, blue, purple, red, yellow}. Draw a Venn diagram representing this situation.

Short Answer

Expert verified

The Venn diagram is as follows:

Step by step solution

01

Given Information

Suppose an experiment has outcomes black, white, red, orange, yellow, green, blue and purple, where each outcome has as equal chance of occurring. Let event C={ green, blue, purple } and event P={ red, yellow, blue }. Then C AND P={ blue } and C OR P={ green, blue, purple, red, yellow } .

02

Calculation

We have

Event C={ green, blue, purple }

Event P={ red, yellow, blue }.

C AND P ={ blue }

C OR P={ green, blue, purple, red, yellow }

Thus, Venn diagram is as follows

03

Conclusion

Hence, the Venn diagram representing the solution is sketched.

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