Combined Probability

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What is Combined Probability?

Back

Combined probability refers to the probability of two or more events happening at the same time. It can be calculated using the addition rule for mutually exclusive events or the multiplication rule for independent events.

Front

Define the Addition Rule in Probability.

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The Addition Rule states that the probability of the occurrence of at least one of two events is the sum of their individual probabilities minus the probability of their intersection: P(A or B) = P(A) + P(B) - P(A and B).

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What is the Multiplication Rule in Probability?

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The Multiplication Rule states that the probability of the occurrence of two independent events is the product of their individual probabilities: P(A and B) = P(A) * P(B).

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How do you calculate the probability of a female preferring sports if 6 out of 30 females prefer sports?

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What is the probability that a randomly chosen person drives an SUV if 60 out of 240 people drive SUVs?

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How do you find the probability that a soda-drinker didn't get food if 30 out of 200 soda-drinkers didn't get food?

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Front

What is the probability of a person ordering pizza or a hot dog if 340 out of 400 people ordered either?

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Front

What is the sample space when three coins are tossed?

Back

The sample space consists of: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}.

Front

What is the probability of flipping only one tails when three coins are tossed?

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Front

Define Mutually Exclusive Events.

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Mutually exclusive events are events that cannot occur at the same time. For example, when flipping a coin, getting heads and tails are mutually exclusive.