Question 4.137

4.137 Using probability rules.

Let , , and .

  1. Explain why it is not possible that events and can be disjoint.
  2. What is the smallest possible value for ? What is the largest possible value for ? It might be helpful to draw a Venn diagram.
  3. If events and are independent, what is ?

4.137

(a) If and are disjoint, then , which is not possible. (b) Smallest is 0.3. Largest is 0.6. (c) 0.76.