1) A red die and a white die are rolled. Let event A = {4 on the red die} and ev

Question

1) A red die and a white die are rolled. Let event A = {4 on the red die} and event B ={sum of dice is odd}. Of the 36 equally likely outcomes, 6 are favorable to A, 18 are favorable to B and 3 are favorable to A "intersect" B. 2) Are A and B independent? 1) A red die and a white die are rolled. Let event A = {4 on the red die} and event B ={sum of dice is odd}. Of the 36 equally likely outcomes, 6 are favorable to A, 18 are favorable to B and 3 are favorable to A "intersect" B. 2) Are A and B independent?

Explanation / Answer

P(A) = 6/36 = 1/6, P(B) = 18/36 = 1/2. P(A intersect B) = 3/36 = 1/12 = P(A)P(B). Hence, A, B are independent (that is the definition of independence).

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