Question

If events A and B are mutually exclusive, what is the probability of event A? A. 0.2 B. 0.8 C. 0.35 D. None of these

1) 0.2
2) 0.8
3) 0.35
4) None of these

Answer 1

Without additional information, we cannot determine the probability of event A from the fact that it is mutually exclusive with event B. The options given are unrelated to this fact, hence the correct answer is 'None of these'.

Step-by-step explanation:

If events A and B are mutually exclusive, this means that the occurrence of one event prevents the occurrence of the other; in other words, they cannot happen simultaneously. Hence, the probability of A and B occurring together, denoted by P(A AND B), is zero. To find the probability of event A when A and B are mutually exclusive, we would simply look at the probability provided for event A. The provided options for the probability of event A seem unrelated to its mutual exclusivity with event B, as mutual exclusivity does not directly imply what the probability P(A) actually is. Given the options A: 0.2, B: 0.8, C: 0.35, D: None of these, we cannot determine the specific probability of event A without additional information. Therefore, we select option D: None of these.