Two fair coins are tossed, and the following events are defined:
A: {Observe at least one head}
B: {Observe exactly one head}
a. Draw a Venn diagram for the experiment, showing events A and B. Assign probabilities to the sample points.
b. Find P(A), P(B), and P(A ∩ B)
c. Use the formula for conditional probability to find P(A|B) and P(B|A). Verify your answer by inspecting the Venn diagram and using the concept of reduced sample spaces.