PROBABILITY Math

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What is probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

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

Back

The probability of an event is calculated as: P(Event) = Number of favorable outcomes / Total number of possible outcomes.

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What is a theoretical probability?

Back

Theoretical probability is the probability calculated based on the possible outcomes in a perfect scenario, without any experimental data.

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What is an example of a simple probability event?

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Flipping a coin: The probability of getting heads is 1/2.

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What does it mean to replace an item in probability?

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Replacing an item means that after an event occurs, the item is returned to the original set, keeping the total number of items the same for subsequent events.

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What is the probability of rolling a 3 on a fair six-sided die?

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The probability is 1/6, since there is one favorable outcome (rolling a 3) out of six possible outcomes.

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How do you calculate the probability of independent events occurring together?

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For independent events, the probability of both events occurring is the product of their individual probabilities: P(A and B) = P(A) * P(B).

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What is the probability of drawing an even number from a set of numbers 1 to 70?

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There are 35 even numbers from 1 to 70, so the probability is P(even) = 35/70 = 1/2.

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What is the probability of selecting a specific item from a group?

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The probability of selecting a specific item is calculated as: P(specific item) = 1 / Total number of items.

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

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There are three even numbers (2, 4, 6), so the probability is P(even) = 3/6 = 1/2.