Theoretical and Experimental Probability #2

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What is theoretical probability?

Back

Theoretical probability is the likelihood of an event occurring based on all possible outcomes in a perfect scenario, calculated as the ratio of the number of favorable outcomes to the total number of possible outcomes.

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How do you calculate the theoretical probability of rolling an even number on a number cube?

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To calculate the theoretical probability of rolling an even number (2, 4, or 6) on a number cube, you divide the number of favorable outcomes (3) by the total number of outcomes (6). The theoretical probability is 3/6, which reduces to 1/2.

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What is experimental probability?

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Experimental probability is the likelihood of an event occurring based on actual experiments or trials, calculated as the ratio of the number of times the event occurs to the total number of trials.

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How do you calculate the experimental probability of an event?

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To calculate the experimental probability of an event, divide the number of times the event occurs by the total number of trials conducted.

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If a coin is tossed 18 times and lands on heads 12 times, what is the experimental probability of landing on tails?

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The experimental probability of landing on tails is calculated as the number of tails (6) divided by the total tosses (18), which is 6/18, reducing to 1/3.

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What is the significance of reducing fractions in probability?

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Reducing fractions in probability simplifies the ratio, making it easier to understand and compare probabilities.

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How do you determine the experimental probability from a bar graph?

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To determine the experimental probability from a bar graph, find the height of the bar representing the event of interest, divide it by the total height of all bars, which represents the total number of trials.

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What is the experimental probability of landing on a specific number after spinning a spinner multiple times?

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The experimental probability of landing on a specific number is calculated by dividing the number of times that number was landed on by the total number of spins.

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If Shannon selects a jelly bean 44 times and records the color, how do you find the experimental probability of selecting a red jelly bean?

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To find the experimental probability of selecting a red jelly bean, divide the number of times a red jelly bean was selected by the total number of selections (44).

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What is the difference between experimental and theoretical probability?

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Theoretical probability is based on expected outcomes in a perfect scenario, while experimental probability is based on actual outcomes from trials.