SOLUTION: please help me with this problem using the data below: P(A ∪ B) = .9, P(B) = .7, P(A ∩ B) = .3. Find P(A).

Algebra ->  Probability-and-statistics -> SOLUTION: please help me with this problem using the data below: P(A ∪ B) = .9, P(B) = .7, P(A ∩ B) = .3. Find P(A).       Log On


   

Question 1131325: please help me with this problem using the data below:
P(A ∪ B) = .9, P(B) = .7, P(A ∩ B) = .3.
Find P(A).
Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
P(A U B) = P(A) + P(B) - P(A n B)


Substitute the given data


0.9 = P(A) + 0.7 - 0.3.


From here, find P(A).


ANSWER.  P(A) = 0.5.

Solved.