Question

2. Two fair coins are tossed, and the following events are defined: A: {Observe at least...

2. Two fair coins are tossed, and the following events are defined:

A: {Observe at least one head}

B: {Observe exactly one head}

a. State the sample points and write down the sample space. Which sample points are in A? B?

b. Draw a Venn diagram for the experiment, showing events A and B.

c. Calculate .

d. Use the formula for conditional probability to calculate Verify your answer by inspecting the Venn diagram and using the concept of reduced sample spaces. Explain your answer in words using the concept of reduced sample spaces and referring to the Venn diagram.

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