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Module 1: Introduction to probability

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Finding probabilities theoretically

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Finding probabilities theoretically

Consider the following situations:

1. A card pack has 4 equally likely suits - hearts, diamonds, clubs or
spades. Getting a heart has a probability 1/4. Getting a diamond has a
probability 1/4.

2. What is the probability of getting a black heart after a one card
shuffle? Zero?

3. What is the probability of getting the Ace of spades? 1/52?

4. What is the probability of getting a red Queen? 2/52 or 1/26?

5. What is the probability of getting a club? 13/52 or 1/4?

6. What is the probability of getting a black card? 26/52 or 1/2?

7. What is the probability of not getting a diamond? 39/52 or 3/4?

8. What is the probability of getting a 3 from a deal of cards? 4/52 or
1/13?

Consider some other situations:

1. A coin toss has two outcomes that are equally likely to occur - Heads
or Tails. The probability of getting either one will be 1/2.

2. A die has 6 equally likely outcomes. Scoring any one outcome has a
probability 1/6.

In all these cases the theoretical probability of getting an event is a
fraction, that equals the number of ways that you might have of getting the
event successfully divided by the possible number of outcomes for the event
in general.

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