If P(A) = 0.4, P(B) = 0.3, P(A ∩ B) = 0, then ____________ Multiple Choice...

Question

Question

If P(A) = 0.4, P(B) = 0.3, P(A ∩ B) = 0, then ____________

Multiple Choice

A. event A and event B are mutually exclusive.

B. event A and event B are independent.

C. the probability of event A is not influenced by the probability of event B.

D. the probability of event B is not influenced by the probability of event A.

Answer 1

Answer #1

Solution:

A. event A and event B are mutually exclusive.

A and B are mutually exclusive ( disjoint ) events.

P(A $\cup$ B ) = P(A) + P(B) - P(A $\cap$ B )

Therefore, P(A $\cap$ B ) = 0

Answer 2

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