Events A and B are mutually exclusive. The probability of event A occurring is0.15; the probability of event B occurring is 0.45; what is the probability that A and B will occur?
A.0.30
B.0.60
C.1
D.0.40
I think C am I correct?
surely not. A probability of 1 means it must occur.
I think you have a typo anyway. If the events are mutually exclusive, then they cannot both happen. P(A&B)=0.
On the other hand, P(A or B) = P(A)+P(B) = 0.60, or (B)
Ok thank you
No, the correct answer is D. 0.40.
Events A and B are mutually exclusive, which means that they cannot occur together. If event A occurs, event B cannot occur, and vice versa. Therefore, the probability of both events A and B occurring at the same time is 0.
In this case, we can calculate the probability of event A occurring (0.15) and the probability of event B occurring (0.45) independently. Since the two events are mutually exclusive, their probabilities cannot be added together.
Therefore, the probability that A and B both occur is 0.