Probability of a single draw

Goal: Write probabilities as counts ÷ total and use the complement and addition rules.

Remember: P(event) = outcomes in the event ÷ total equally likely outcomes. P(not A) = 1 − P(A).

1. 1.A card is drawn from a full deck. What is the probability it is a heart?

2. 2.What is the probability it is an ace?

3. 3.What is the probability it is a face card (J, Q or K)?

4. 4.What is the probability it is a heart or a king? (Careful: one card is both.)

5. 5.What is the probability it is a red number card from 2 to 10?

6. 6.What is the probability it is not a spade?

7. 7.Two cards are drawn in a row without replacement. What is the probability both are aces?

8. 8.Why is the second fraction 3/51 and not 4/52?