Theoretical Probability

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What is theoretical probability?

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Theoretical probability is the likelihood of an event occurring based on all possible outcomes, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

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What is experimental probability?

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Experimental probability is the likelihood of an event occurring based on actual experiments or trials, calculated using the formula: P(Event) = Number of times the event occurs / Total number of trials.

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How do you calculate the probability of an event not occurring?

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The probability of an event not occurring is calculated as: P(Not Event) = 1 - P(Event).

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What is a dependent event?

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A dependent event is an event whose outcome is affected by the outcome of a previous event.

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What is an independent event?

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An independent event is an event whose outcome is not affected by the outcome of another event.

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If a spinner has 12 equal sections, what is the theoretical probability of landing on one specific section?

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The theoretical probability of landing on one specific section is 1/12.

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If a spinner has 8 equal sections and you want to find the probability of landing on a specific color, how do you calculate it?

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You calculate it by dividing the number of sections of that color by the total number of sections: P(Color) = Number of sections of that color / Total sections.

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What is the probability of picking a red rose from a tray with 5 red, 3 yellow, and 8 white roses?

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The probability of picking a red rose is 5/(5+3+8) = 5/16.

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What is the probability of picking a white rose first and a red rose next without replacement?

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The probability is calculated as: P(White first) * P(Red second | White first) = (8/16) * (5/15) = 1/6.

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What is the formula for calculating probability?

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The formula for calculating probability is: P(Event) = Number of favorable outcomes / Total number of outcomes.