*DISCRETE MATH* Question 4: We roll a fair red die and a fair blue die. We define the following random
variables.
R={(1 if the red die is even ):}
0 otherwise
B={(1 if the blue die is 3 or less ):}
0 otherwise
S={(1 if the sum of both dice is even ):}
0 otherwise
It should be clear that R and B are independent random variables, so you do not have
to prove that.
a) Are R,B, and S pairwise independent?
b) Are R,B, and S mutually independent?
Question 4: We roll a fair red die and a fair blue die. We define the following random variables.
1 if the red die is even 0 otherwise
1 if the blue die is 3 or less 0 otherwise.
1 if the sum of both dice is even 0 otherwise
It should be clear that R and B are independent random variables, so you do not have to prove that.
a) Are R. B.and S pairwise independent?
b) Are R, B,and S mutually independent?