Theoretical and Experimental Probability

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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.

Tags

CCSS.7.SP.C.7A

Front

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.

Front

How do you calculate the theoretical probability of landing on a specific color in a spinner?

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The theoretical probability is calculated by dividing the number of sections of that color by the total number of sections on the spinner.

Tags

CCSS.7.SP.C.7A

Front

If a spinner has 4 equal sections (red, blue, green, yellow), what is the theoretical probability of landing on yellow?

Back

1/4 or 25%.

Tags

CCSS.7.SP.C.7A

Front

What is the relationship between experimental and theoretical probability?

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Experimental probability can vary from theoretical probability due to randomness and the number of trials; as the number of trials increases, experimental probability tends to get closer to theoretical probability.

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In a class of 21 students, if 7 do not own a gaming system, what is the ratio of students who do not own a gaming system?

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The ratio is 7 out of 21, which simplifies to 1 out of 3.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a spinner is spun 30 times and lands on blue 12 times, what is the experimental probability of landing on blue?

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The experimental probability of landing on blue is 12/30, which simplifies to 2/5 or 40%.

Tags

CCSS.7.SP.C.6

Front

What is the formula for calculating experimental probability?

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P(Event) = Number of times the event occurs / Total number of trials.

Front

If a spinner is spun 50 times and lands on a number 11 fifteen times, what is the experimental probability of landing on 11?

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The experimental probability of landing on 11 is 15/50, which simplifies to 3/10 or 30%.

Tags

CCSS.7.SP.C.6

Front

What is the theoretical probability of rolling a 3 on a standard number cube?

Back

The theoretical probability is 1/6 or approximately 16.67%.

Tags

CCSS.7.SP.C.7A