Theoretical and Experimental Probability

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What is theoretical probability?

Back

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?

Back

Experimental probability is the likelihood of an event occurring based on the results of an actual experiment, 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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If a spinner has 8 equal sections, what is the theoretical probability of landing on any one section?

Back

The theoretical probability of landing on any one section is 1/8.

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In a bag with 5 red, 3 blue, and 2 green marbles, what is the probability of picking a blue marble?

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The probability of picking a blue marble is 3/10.

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What is the probability of drawing a lemon candy from a bag containing 30 candies with 3 being lemon?

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The probability of drawing a lemon candy is 3/30 or 1/10.

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What does it mean if an event has a probability of 0?

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If an event has a probability of 0, it means that the event cannot occur.

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What does it mean if an event has a probability of 1?

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If an event has a probability of 1, it means that the event is certain to occur.

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How do you express probability as a percentage?

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To express probability as a percentage, multiply the probability by 100. For example, a probability of 1/4 is 25%.

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What is the probability of rolling a 3 on a standard six-sided die?

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The probability of rolling a 3 is 1/6.