Probability claims — true or false?

Exercise and reference answers

Questions

1. Statement is true

   Yes

   Statement

   P(A) is always between 0 and 1.

2. Statement is true

   Yes

   Statement

   Sum of probabilities of all outcomes equals 1.

3. Statement is true

   Yes

   Statement

   If A and B are mutually exclusive, P(A ∩ B) = 0.

4. Statement is true

   No

   Statement

   Independent events are always mutually exclusive.

5. Statement is true

   Yes

   Statement

   P(A) + P(not A) = 1.