Question

A die marked 1, 2, 3 in red and 4, 5, 6 in green is tossed. Let A be the event, the number is even, and B be the event, the number is red. Are A and B independent? Select the correct answer from above options

Answer 1

As per the given details, A={2,4,6}andB={1,2,3} A∩B={2} P(A)= 3 6 = 1 2 andP(B)= 3 6 = 1 2 P(A∩B)= 1 6 For A and B to be independent, P(A∩B)=P(A)⋅P(B) Here, P(A).P(B)= 1 4 As, P(A∩B)≠P(A)⋅P(B), A and B are not independent.