Question

If A and B are mutually exclusive events with P(A) = 0.3 and P(B) = 0.5, then P(A ∪ B) = a. 0.00. b. 0.20. c. 0.80. d. 0.15.

Answer 1

c. 0.80

Explanation:

If two events A and B are mutually exclusive they cannot occur simultaneously, but they can occur independently and so their individual probabilities can be added.

`P(A \cap B) = 0\\P(A \cup B) = P(A) + P(B)`

Therefore: P(A ∪ B) is:

`P(A \cup B) = 0.3+0.5\\P(A \cup B) = 0.8`

Thus, the answer is c. 080