 Good morning friends, I am Purva and today we will discuss the following question. Choose the correct answer and the question is two events A and B will be independent if A, A and B are mutually exclusive, B probability of A complement into B complement is equal to 1 minus probability of A into 1 minus probability of B, C probability of A is equal to probability of B, D probability of A plus probability of B is equal to 1. Now if E and F are independent events then we have probability of E intersection F is equal to probability of E into probability of F. So this is the key idea behind our question. Let us begin with the solution now. Now probability of A complement into B complement means probability of not A and not B and this is equal to probability of A complement intersection B complement. Now since A and B are independent events this is given to us. So we have A complement and B complement are also independent. Now by key idea we know that if E and F are two independent events then we have probability of E intersection F is equal to probability of E into probability of F. So from this equation one we have probability of A complement B complement is equal to probability of A complement intersection B complement is equal to probability of A complement into probability of B complement since A complement and B complement are independent. This is equal to probability of A complement is equal to 1 minus probability of A into probability of B complement is equal to 1 minus probability of B and the reason is because probability of not an event E is equal to 1 minus probability of an event E. This is same as our option B. Thus we get the answer as option B. So we write our answer as B. Hope you have understood the solution. Bye and take care.