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# 11.2 Theoretical and Experimental Probability PowerPoint PPT Presentation

11.2 Theoretical and Experimental Probability. 9.4.3.2 Calculate experimental probabilities by performing simulations or experiments involving a probability model and using relative frequencies of outcomes.

11.2 Theoretical and Experimental Probability

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## 11.2 Theoretical and Experimental Probability

9.4.3.2 Calculate experimental probabilities by performing simulations or experiments involving a probability model and using relative frequencies of outcomes.

### Guiding Question: What is the difference between theoretical and experimental probability?

• Lesson Objective: I will be able to find the theoretical and experimental probability of an event.

• What is the most popular number when rolling 2 dice and adding them?

• Which happens more when flipping a coin, heads or tails?

### Guiding Question: What is the difference between theoretical and experimental probability?

• Terms to know

• Probability

• Event

• Outcome

• Sample Space

• Complement

• Theoretical & Experimental Probability

• Geometric Probability

• Experiment

• Probability

• Measure of how likely something will occur.

• Always a fraction/decimal between 0 and 1

• Written as P(event)=

• Probability of 0 means it will never occur (Vikings winning a super bowl)

• Probability of 1 means it will happen (I will sleep tonight).

### Guiding Question: What is the difference between theoretical and experimental probability?

• Event – Something that happens

• Outcome – result of event

• Sample space – all possible outcomes

• Example

• Event: draw a card

• Outcome: draw an ace

• Sample Space: Ace – King

### Guiding Question: What is the difference between theoretical and experimental probability?

Theoretical Probability –

Complement – all outcomes that are not favorable

P(not flipping heads) = 1 – ½ = ½

• What is the probability of drawing a king?

• What is the probability of drawing the king of hearts?

• What is the probability of drawing a face card?

• What is the probability of not drawing a face card (complement)?

### Guiding Question: What is the difference between theoretical and experimental probability?

Geometric Probability: probability by using the ratio of area or volume.

Ex. If the rectangle is 14 x 12 inches, what is the probability of landing in the triangle?

### Guiding Question: What is the difference between theoretical and experimental probability?

Experimental Probability

Theoretical Probability

• Actually performing trials

• Ex. Rolling a die and counting how many times 4 comes up

• Perform no trials

• Ex. You would expect to roll a die and get 4 of the time.