Suppose that we roll a pair of fair dice, so each of the 36 possible outcomes is
equally likely. Let A denote the event that the first dice lands on 3, let B be the event
that the sum of the dice is 8, and let C be the event that the sum of the dice is 7.
(i) Are A and B independent?
(ii) Are A and C independent?
Show your reasoning
- fcas80Lv 71 month agoFavorite Answer
P(A) = 1/6
P(B) = 5/36
P(C) = 1/6
P(A and B) = 1/36, if 1st die 3 & 2nd die 5
P(A and C) = 1/36 if 1st die 3 & 2nd die 4
(i) P(A and B) does not equal P(A)xP(B), so not independent
(ii) P(A and C) does equal P(A)xP(C), so independent