Two events A and B are said to mutually exclusive if:Group of answer choicesP(B| A) =1.P(A ∩ B) =1.P(A ∩ B) = 0.P(A| B) = 1.

Understanding Mutually Exclusive Events

1. Definition of Mutually Exclusive Events: Two events, A and B, are considered mutually exclusive if they cannot occur at the same time. That is, if one event occurs, the other cannot.

2. Analysis of Given Choices:

   • P(B | A) = 1: This statement means that if event A occurs, event B must occur. This is not true for mutually exclusive events.
   • P(A ∩ B) = 1: This would imply that both events A and B always occur together, which contradicts the definition of mutual exclusivity.
   • P(A ∩ B) = 0: This statement means that there is no overlap between events A and B, indicating that they cannot happen at the same time, which aligns with the definition of mutually exclusive events.
   • P(A | B) = 1: This means if event B occurs, event A must also occur. This is also not true for mutually exclusive events.

Conclusion

Based on the analysis, the correct choice that defines mutually exclusive events is:

P(A ∩ B) = 0.