Probability I: Introductory Ideas

Which of the following are pairs of mutually exclusive events in the drawing of one card from a standard deck of 52?.

1. A heart and a queen.
2. A club and a red card.
3. An even number and a spade.
4. An ace and an even number.

Which of the following are mutually exclusive outcomes in the rolling of two dice?

1. A total of 5 points and a 5 on one die.
2. A total of 7 points and an even number of points on both dice.
3. A total of 8 points and an odd number of points on both dice.
4. A total of 9 points and a 2 on one die.
5. A total of 10 points and a 4 on one die.

Solution

Pairs of mutually exclusive events in the drawing of one card from a standard deck of 52 is (b) and (d)

The mutually exclusive outcomes in the rolling of two dice is (a), (b) and (d)