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In general, how do you find the theoretical probability of a favorable outcome in a two-spinner game?Possible blue outcomesPossible red outcomes

Question

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Solution

To find the theoretical probability of a favorable outcome in a two-spinner game, follow these steps:

  1. Identify the total number of outcomes for each spinner: Count the number of possible outcomes for the blue spinner and the red spinner separately.

  2. Determine the number of favorable outcomes: Identify which outcomes are considered "favorable". This will depend on the rules of the game or the specific event you're interested in.

  3. Calculate the probability for each spinner: The probability of a single event is calculated by dividing the number of favorable outcomes by the total number of outcomes. Do this for both the blue and red spinner.

  4. Multiply the probabilities: Since you're dealing with two independent events (spinning the blue spinner and spinning the red spinner), you find the combined probability by multiplying the individual probabilities together.

Remember, theoretical probability is a prediction made on the basis of all the possible outcomes. The actual outcome may be different when you actually play the game due to chance.

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