SOLUTION: P(A)=0.40; P(B) = 0.25; the probability of both events occurring is 0.15. What is the probability of either event occurring? A. 0.15 B. 0.50 C. 0.65 D. 0.80 Thank you for

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Question 744599: P(A)=0.40; P(B) = 0.25; the probability of both events occurring is 0.15. What is the probability of either event occurring?
A. 0.15
B. 0.50
C. 0.65
D. 0.80
Thank you for any help you can give.
Found 2 solutions by lynnlo, ikleyn:
Answer by lynnlo(4176)   (Show Source): You can put this solution on YOUR website!
C.
Answer by ikleyn(53765)   (Show Source): You can put this solution on YOUR website!
.
P(A) = 0.40; P(B) = 0.25; the probability of both events occurring is 0.15.
What is the probability of either event occurring?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

This question is about P(A U B).


Use the standard formula  P(A U B) = P(A) + P(B) - P(A and B).

Substitute the given values

    P(A U B) = 0.40 + 0.25 - 0.15 = 0.50.    ANSWER

Solved.

The answer in the post by @lynnlo is incorrect.



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