Let A and B be two events such that P( A B )= 1 6 , P(A B)= 1 4 and P( A )= 1 4 , where A stands for complement of event A . Then, the events A and B are

Step-by-step solution

Given, P( A B )= 1 6 array lr & 1-P(A B)= 1 6 & 1-P(A)-P(B)+P(A B)= 1 6 array array lr & P( A )-P(B)+P(A B)= 1 6 & 1 4 -P(B)+ 1 4 = 1 6 array aligned & & and P(B)= 1 3 & an P( A )=1- 1 4 = 3 4 aligned Since, P(A B)=P(A) P(B) , so the events A and B are independent events but not equally likely.