Question

Are rolling 2 dice and getting a sum of 7 or a sum of 4 mutually exclusive?

1) True
2) False

Answer 1

Rolling a sum of 7 and rolling a sum of 4 are mutually exclusive when rolling two dice.

The correct answer is ) False

Step-by-step explanation:

Two events are mutually exclusive if they cannot occur at the same time. In this case, rolling a sum of 7 and rolling a sum of 4 are mutually exclusive. When rolling two dice, the possible ways to get a sum of 7 are:

1. Rolling a 1 on one die and a 6 on the other
2. Rolling a 2 on one die and a 5 on the other
3. Rolling a 3 on one die and a 4 on the other
4. Rolling a 4 on one die and a 3 on the other
5. Rolling a 5 on one die and a 2 on the other
6. Rolling a 6 on one die and a 1 on the other

These are the only ways to get a sum of 7. Similarly, the possible ways to get a sum of 4 are:

1. Rolling a 1 on one die and a 3 on the other
2. Rolling a 2 on one die and a 2 on the other
3. Rolling a 3 on one die and a 1 on the other

Since there are no common outcomes between these two sets, they are mutually exclusive.

The correct answer is ) False