HELP!I roll a die twice.E is the event that both rolls are even.F is the event that the first roll is a four.?

Question

I roll a die twice.
E is the event that both rolls are even.
F is the event that the first roll is a four. (The elements of F are (4,1), (4,2), (4,3), etc.)
G is the event that the sum of the numbers on the dice is 7.
Which two events are mutually exclusive?
Pick one:
E and F
E and G
G and F
all of them?

Answer 1

And in the list of possibilities you gave for F, one satisfies E and another satisfies G; so E and F aren't mutually exclusive, and neither are G and F.

Answer 2

E and G are mutually exclusive because you can not roll two even numbers that sum to 7. Mutually exclusive means that they cannot occur at the same time.

Answer 3

E and G. If both rolls are even, the sum has to be even as well and cannot be seven.

Examples:
E and F: (4, 2)
F and G: (4, 3)