SOLUTION: In a roll of a pair of fair dice (one red and one green), let A be the event the red die shows a 3, 4, or 5; let B be the event the green die shows a 1 or a 2; and let C be the

Algebra ->  Probability-and-statistics -> SOLUTION: In a roll of a pair of fair dice (one red and one green), let A be the event the red die shows a 3, 4, or 5; let B be the event the green die shows a 1 or a 2; and let C be the       Log On


   



Question 1095479: In a roll of a pair of fair dice (one red and one
green), let A be the event the red die shows a 3, 4, or 5; let
B be the event the green die shows a 1 or a 2; and let C
be the event the dice total is 7. Show that A, B, and C are
independent.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A is 1/2
B is 1/3
C is 1/6
With independence, the probability of A* probability of B should equal the probability of C, which it does. The fact that each die has 1/6 probability for each number and is not weighted makes this work.