Theoretical & 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 as the number of favorable outcomes divided by the total number of possible outcomes.

Tags

CCSS.7.SP.C.7A

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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 as the number of times the event occurs divided by the total number of trials.

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How do you calculate the probability of NOT landing on a specific color on a spinner?

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To calculate the probability of NOT landing on a specific color, subtract the probability of landing on that color from 1.

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CCSS.HSS.CP.B.7

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

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The probability of NOT landing on yellow is 7/8 or 87.5%.

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CCSS.7.SP.C.7B

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What is the expected number of heads when flipping a fair coin 40 times?

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The expected number of heads is 20, since there is a 50% chance of getting heads.

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CCSS.HSS.MD.A.2

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What is the probability of rolling an odd number on a 6-sided die?

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The probability of rolling an odd number is 3/6 or 1/2, since there are three odd numbers (1, 3, 5) on a die.

Tags

CCSS.7.SP.C.7B

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What is the probability of rolling an even number on a 6-sided die?

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The probability of rolling an even number is also 3/6 or 1/2, since there are three even numbers (2, 4, 6) on a die.

Tags

CCSS.7.SP.C.7A

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How do you find the theoretical probability of picking an even number from 1 to 20?

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There are 10 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) out of 20 total numbers, so the probability is 10/20 or 1/2.

Tags

CCSS.7.SP.C.7B

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

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There are 2 vowels (A, E) out of 5 letters, so the probability is 2/5.

Tags

CCSS.7.SP.C.7B

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What does it mean if two events are equally likely?

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Two events are equally likely if they have the same probability of occurring.

Tags

CCSS.7.SP.C.7A