If P(A B)= 5 6 , P(A B)= 1 3 and P( A )= 1 2 , then which of the following is/are correct? 1. A and B are independent events. 2. A and B are mutually exclusive events. Select the correct answer using the code given below.

Step-by-step solution

aligned & P( A )= 1 2 & P(A)=1-P( A )=1- 1 2 = 1 2 aligned aligned & and P(B)=P(A B)-P(A)+P(A B) & = 5 6 - 1 2 + 1 3 = 2 3 aligned Now, P(A B)=P(A) . P(B)= 1 2 2 3 = 1 3 A and B are independent events.