Probability

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What is Probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1.

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What is Theoretical Probability?

Back

Theoretical Probability is what should happen in an ideal situation, calculated using the formula: P(Event) = Number of favorable outcomes / Total number of outcomes.

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What is Experimental Probability?

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Experimental Probability is based on the actual results of an experiment, calculated as: P(Event) = Number of times the event occurs / Total number of trials.

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What are Independent Events?

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Independent events are events where the outcome of one event does not affect the outcome of another.

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What are Dependent Events?

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Dependent events are events where the outcome of one event affects the outcome of another.

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

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To find the probability of independent events occurring together, multiply their individual probabilities: P(A and B) = P(A) * P(B).

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

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To find the probability of dependent events occurring together, multiply the probability of the first event by the probability of the second event given the first: P(A and B) = P(A) * P(B|A).

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

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The probability of rolling a six is 1/6.

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

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The probability of rolling an odd number (1, 3, or 5) is 3/6 or 1/2.

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If a piggy bank contains 4 quarters, 18 dimes, 10 nickels, and 8 pennies, what is the probability of picking a penny first?

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The probability of picking a penny first is 8/40 or 1/5.