Theoretical and Experimental Probability

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What is theoretical probability?

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Theoretical probability is the likelihood of an event happening 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 happening 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?

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To calculate the probability of an event, use the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

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What is the probability of landing on a specific number on a fair spinner with 6 equal sections?

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The probability is 1/6, since there is one favorable outcome (the specific number) out of 6 possible outcomes.

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If a bag contains 5 red marbles and 3 blue marbles, what is the probability of picking a red marble?

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The probability is 5/8, since there are 5 favorable outcomes (red marbles) out of 8 total marbles.

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What is the probability of spinning a color that is not red on a spinner with 3 red, 2 blue, and 1 green section?

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The probability is 4/6 or 2/3, since there are 4 favorable outcomes (blue and green) out of 6 total sections.

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What is the probability of picking a vowel from the letters A, B, C, D, and E?

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The probability is 2/5, since there are 2 vowels (A and E) out of 5 total letters.

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What is the probability of rolling a number greater than 4 on a standard die?

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The probability is 1/3, since there are 2 favorable outcomes (5 and 6) out of 6 total outcomes.

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If a spinner has 4 sections: 1 green, 2 red, and 1 blue, what is the probability of landing on red?

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The probability is 2/4 or 1/2, since there are 2 favorable outcomes (red) out of 4 total sections.

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What is the probability of drawing a heart from a standard deck of cards?

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The probability is 1/4, since there are 13 hearts out of 52 total cards.