Theoretical and Experimental Probability

Front

What is theoretical probability?

Back

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?

Back

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 NOT landing on a specific outcome?

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To calculate the probability of NOT landing on a specific outcome, subtract the probability of landing on that outcome from 1: P(NOT Event) = 1 - P(Event).

Front

If a number cube is rolled 24 times and lands on 6 three times, what is the experimental probability of landing on 6?

Back

The experimental probability of landing on 6 is 3 out of 24, which simplifies to 1 out of 8.

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What is the probability of picking a quarter from a bag containing 5 quarters, 2 dimes, and 4 pennies?

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The probability of picking a quarter is 5/11.

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What is the theoretical probability of pulling out a pencil from a bag containing 5 pencils and 7 pens?

Back

The theoretical probability of pulling out a pencil is 5/12.

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In a bowl with 4 yellow, 6 orange, 3 green, 5 blue, and 2 brown M&Ms, what is the probability of selecting a brown candy?

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The probability of selecting a brown candy is 1/10.

Front

What is the total number of outcomes when rolling a number cube?

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The total number of outcomes when rolling a number cube is 6, as it has six faces numbered 1 to 6.

Front

If a spinner has 8 equal sections and 1 section is yellow, what is the theoretical probability of NOT landing on yellow?

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The theoretical probability of NOT landing on yellow is 7/8.

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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.