Experimental and Theoretical Probability

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What is experimental probability?

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Experimental probability is the probability determined by conducting experiments and observing the outcomes. It is calculated as the number of times an event occurs divided by the total number of trials.

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What is theoretical probability?

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Theoretical probability is the probability calculated based on the possible outcomes of an event, assuming all outcomes are equally likely. It is determined using the formula: P(Event) = Number of favorable outcomes / Total number of possible outcomes.

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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 1 minus the probability of the event occurring. P(Not A) = 1 - P(A).

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

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

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If a spinner has 8 equal sections, and 7 are not yellow, what is the probability of not landing on yellow?

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The probability of not landing on yellow is 7/8.

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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, as there are 2 vowels (A and E) out of 5 letters.

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What is the theoretical probability of picking an even number from 1 to 20?

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The theoretical probability is 1/2, as there are 10 even numbers (2, 4, 6, 8, 10, 12, 14, 16, 18, 20) out of 20.

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What does it mean to determine the expected probability of an event?

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Determining the expected probability of an event means calculating the likelihood of that event occurring based on theoretical outcomes rather than experimental results.

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What is the probability of rolling a 5 on a standard die?

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The probability is 1/6, as there is 1 favorable outcome (rolling a 5) out of 6 possible outcomes.

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

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The probability is 2/10 or 1/5, as there are 2 blue marbles out of a total of 10.