Maths. Section B1Probability

If P(A ∪ B)=1/2, P(A∪ B)=1/2 and 2P(A)=P(B)=P then p is equal to

If \(P(A \cup B)=\frac{1}{2}, P(\bar{A}\cup \bar{B})=\frac{1}{2}\) and \(2P(A)=P(B)=P\) then \(p\) is equal to

Answer & explanation

Correct answer: option 4

\(P(A\cap B)=1-P(\bar{A}\cup \bar{B})=\frac{1}{2},P(A\cup B)=P(A)+P(B)-P(A\cap B)\)