The classical probability for an event E is given by: P(E) = Number of outcomes

Question

The classical probability for an event E is given by:

P(E) =

Number of outcomes in E
----------------------------------------
Total number of outcomes in sample space

Exercises:

A card is drawn at random from a regular deck of 52 cards. Calculate the probability of each of the following events.

1. The ace of hearts is drawn.
2. An ace is drawn
3. A spade is drawn
4. A red card is drawn
5. A picture card is drawn
6. A card not an ace is drawn
7.A card with a value of 10 or higher is drawn (10, J, Q, K)
8. A heart or an ace is drawn

Pick a problem and show how you arrived at your result.

Explanation / Answer

1)

probability = 1/52 since there is 1 heart in deck of cards

2)

probabilty = 4/52 = 1/13

3)

probability = 13/52 = 1/4

4)

probability = 26/52 = 1/2

5)

probability = 12/52 = 3/13

6)

probaility = 48/52 = 12/13

7)

probability = 16/52 = 4/13

8)

probability = 16/52 = 4/13

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