Question

The probability of event a is p(a) = 0.3, and the probability of event b is p(b) = 0.25. are a and b disjoint?

Answer 1

No, events a and b are not disjoint because there is a possibility that they can both occur.

Step-by-step explanation:

No, events a and b are not disjoint. Two events are disjoint if they have no outcomes in common. In other words, if events a and b cannot happen at the same time. However, the probabilities of a and b are given separately, so there is a possibility that they can both occur. Therefore, events a and b are not disjoint.

Answer 2

It is impossible to determine from the information given. Option C

If events A and B are disjoint, then the probability of their intersection, denoted as P(A ∩ B), should be equal to zero.

In this case, we are given that P(A) = 0.3 and P(B) = 0.25.

Since the probability of P(A ∩ B) is unknown, we cannot be able to determine whether the two events A and B are disjoint or not.

Thus, we can say that the information given is not efficient to determine whether the two events A and B are disjoint or not.

The complete question is:<The probability of event A is P(A)=0.3, and the probability of event B is P(B)=0.25. Are A and B disjoint? A Yes. B No. C It is impossible to determine from the information given.>