Question

For the two mutually exclusive events \(A\) and \(B\), which of the following are correct? A. \(P(A\cup B)=P(A)+P(B)\)
B. \(P(A\cap B)=0\)
C. \(P(A\cap B)=P(A)\cdot P(B)\)
D. \(P(A\cap B)=P(A/B)P(B)\)
E. \(P(A)=P(A/B)P(B)\)

• A. A, C and E only
• B. A, B and D only
• C. A and D only
• D. B, C only

Hint:

For mutually exclusive events, \(P(A\cap B)=0\) and \(P(A\cup B)=P(A)+P(B)\).

Answer 1

The Correct Option is B