And or logic

If A and B are events with P(A)=0.3, P(A OR B)=0.76, and P(A AND B)=0.04, find P(B). Enter your answer in decimal form, rounded to one place.

Correct answer:

p2 =  0.5

Step-by-step explanation:

P(A)=0.3 P(A OR B)=0.76 P(A AND B)=0.04  P(A OR B) = P(A) + P(B)  P(A AND B) P(B) = P(A OR B) + P(A AND B)  P(A) p2 = P(B)  p2=0.76+0.040.3=0.5

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