Theoretical Probability

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What is theoretical probability?

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Theoretical probability is the likelihood of an event occurring based on the 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 experimental probability?

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Experimental probability is calculated by taking the number of times an event occurs and dividing it by the total number of trials conducted.

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What is the formula for calculating the probability of an event?

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The formula for calculating the probability of an event is P(E) = Number of favorable outcomes / Total number of possible outcomes.

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If a spinner is spun 200 times and lands on a number 50 times, what is the experimental probability of landing on that number?

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The experimental probability is 50/200 = 1/4 or 0.25.

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What is the difference between theoretical and experimental probability?

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

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How do you predict outcomes using experimental probability?

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To predict outcomes using experimental probability, multiply the experimental probability by the number of trials you expect to conduct.

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What is the probability of rolling a number greater than 1 on a standard six-sided die?

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The probability is 5/6, since the favorable outcomes are 2, 3, 4, 5, and 6.

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How many different combinations can be made with 5 vegetables, 4 dressings, 2 types of lettuce, and 3 toppings?

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The total combinations can be calculated by multiplying the number of choices: 5 * 4 * 2 * 3 = 120.

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What is a bar graph and how is it used in probability?

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A bar graph is a visual representation of data using bars to show the frequency of different outcomes, which can help in calculating experimental probability.

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What is the significance of the number of trials in experimental probability?

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The number of trials affects the accuracy of experimental probability; more trials generally lead to a probability that is closer to the theoretical probability.