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Theoretical Probability

Theoretical Probability. Turn to textbook page 239 to play Never a Six. (See handout for game board.). Let’s think about the game. a) List all the possible outcomes for a single roll of a die. b) Do all the numbers seem to have an equal chance of occurring? Why or why not?.

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Theoretical Probability

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  1. Theoretical Probability

  2. Turn to textbook page 239 to play Never a Six. (See handout for game board.)

  3. Let’s think about the game . . . a) List all the possible outcomes for a single roll of a die. b) Do all the numbers seem to have an equal chance of occurring? Why or why not?

  4. An event is a set of outcomes for a particular experiment. For example, in Never a Six the outcomes a roll of 4 and a roll of 5 makeup the eventscoring more than three points on a single roll.

  5. When you find the probability of an event without doing an experiment, it is called theoretical probability. • You can find the theoretical probability when the outcomes are equally likely.

  6. Find the theoretical probability (as a fraction in lowest terms) of the event scoring more than 3 points on the first roll of a turn? Find the theoretical probability (as a fraction in lowest terms) of the event scoring a 2 on the first roll of a turn?

  7. Find the theoretical probability of the following events if rolling a die in the game Never a Six. Express your answer as a fraction in lowest terms. . a. Scoring less than 3 b. Scoring an odd number of points c. Scoring 0, 1, 2, 3, 4, or 5 points d. Scoring 0 points e. Scoring 6 points

  8. If an event cannot happen, it is an impossible event, and it has a probability of 0. If an event must happen it is a certain event, and has a probability of 1.

  9. Impossible, likely, or certain???? • Roll a 7 on a die? • Spin a yellow on this spinner • Landing on 1, 2, 3, or 4 on • the spinner

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