Three dice, one large, one medium and one small, are rolled. A is the event when the large die shows an odd number, B is the event when the medium die shows an odd number, and C is the event when the small die shows an even number. Determine if the events are independent or dependent.
Why is ?
Simply do this thought experiment: If you roll Dice A, will it's outcome in any way shape or form, effect Dice B's roll? We will even roll them in separate rooms, to remove one die from hitting another or some silliness like that.
The probability of A and B and C is (1/8). The P(A) is 1/2; the P(B) is 1/2; the P(C) is 1/2.