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.

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11.2 Theoretical and Experimental Probability

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11 2 theoretical and experimental probability

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

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 probability1

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 probability2

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 probability3

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

Theoretical Probability –

Complement – all outcomes that are not favorable

Ex. P(flipping heads) = ½

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 probability4

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

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

Ex. If I throw a dart, what is the probability I land in the white area?


Guiding question what is the difference between theoretical and experimental probability5

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.


Assignment day 1 pg 807 14 20 day 2 pg 807 23 25 26 27

Assignment: Day 1 Pg. 807 14-20Day 2 Pg. 807 23, 25,26, 27


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