11.2 Theoretical and Experimental Probability

1 / 8

# 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.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' 11.2 Theoretical and Experimental Probability' - armani

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### 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.