Experimental%20vs.%20Theoretical%20Probability

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Experimental vs. TheoreticalProbability
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Theoretical vs. Experimental Probability

• Objectives 4.04 - Determine and compare
  experimental and theoretical probabilities for
  simple and compound events.
• Essential Questions
• (1) How do we determine and compare experimental
  and theoretical probabilities for simple and
  compound events?

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Theoretical vs. Experimental Probability

• Theoretical Probability
• - The probability we find on paper.
• - It is how a probability of an event should
  happen.
• Experimental Probability
• - Experimental probability refers to the
  probability of an event occurring when an
  experiment was conducted.

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Theoretical vs. Experimental Probability

• Theoretical Probability
• number of favorable outcomes
• Theoretical Probability number of possible
  outcomes

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Theoretical vs. Experimental Probability

• Experimental Probability
• number of event occurrences
• Experimental Probability Total number of
  trials

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Theoretical vs. Experimental Probability

• Example 1 Roll a dice.
• What is the theoretical probability of rolling a
  4?
• favorable outcomes
• possible outcomes
• 1
• 6
• The probability of rolling a 4 is 1 out of 6

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Theoretical vs. Experimental Probability

• Example 1 Continued Roll a dice.
• What is the experimental probability of rolling a
  4?
• event occurrences
• Total of trials

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Theoretical vs. Experimental Probability

• Example 2 Coins.
• What is the theoretical probability of flipping a
  tail?
• favorable outcomes
• possible outcomes
• 1
• 2
• The probability of spinning green is 1 out of 2
  or .5 or 50

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Theoretical vs. Experimental Probability

• Example 2 Continued Coins.
• What is the experimental probability of flipping
  a tail?
• favorable outcomes
• possible outcomes

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Theoretical vs. Experimental Probability

• Guided Practice Cards
• Card Trick
• - Each student in the group will pick a card from
  the deck, shuffle the cards and pick another card
  five times. The student will pick a total of five
  cards. To determine experimental probability,
  find the desired outcome such as number of face
  cards, over the total numbers of cards drawn.
• - After all the experiments are performed and
  experimental probabilities are found, compare
  them to the theoretical probabilities of each
  experiment. You may determine how close the two
  are as fractions, decimals, and percents.

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Theoretical vs. Experimental Probability

• Summary
• - Theoretical Probability is the how an outcome
  should happen, in theory.
• - Experimental probability refers to the
  probability of an event occurring when an
  experiment was conducted.

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Theoretical vs. Experimental Probability

• Homework