Consider the following statements: 1. If A and B are mutually exclusive events, then it is possible that P ( A )= P ( B )=0.6 . 2. If A and B are any two events such that P(A B)=1 , then P ( B A )=1 . Which of the above statements is/are correct?

Step-by-step solution

(i) Since A & B are mutually exclusive. aligned & P(A B)=P(A)+P(B)-P(A B) & =.6+.6-0 & P(A B)=1.2 aligned statement 1 is wrong. aligned & (ii) P ( A B )= P(A B) P(B) & 1= P(A B) P(B) & P(B)=P(A B) & B A aligned now, aligned & P ( B A )= P( B A ) P( A ) & = 1-P(A B) 1-P(A) & ( A B=A) & = 1-P(A) 1-P(A) =1 aligned statement 2 is correct.