Experimental Probability of Compound Events

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What is experimental probability?

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Experimental probability is the ratio of the number of times an event occurs to the total number of trials or observations.

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How do you calculate experimental probability?

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Experimental probability is calculated using the formula: \( P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} \)

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What is a compound event in probability?

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A compound event is an event that consists of two or more simple events. For example, rolling a die and flipping a coin.

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What is the difference between theoretical and experimental probability?

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Theoretical probability is based on the expected outcomes in a perfect world, while experimental probability is based on actual experiments and observations.

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If a dentist has 400 patients and 50 are females aged 22-39, what is the experimental probability that the next patient is a female in that age range?

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The experimental probability is \( P = \frac{50}{400} = \frac{1}{8} \)

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In a vehicle classification problem, if 3 out of 25 vehicles are cars that turn right, what is the experimental probability?

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The experimental probability is \( P = \frac{3}{25} \)

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What is the experimental probability of selecting a specific order from a food trailer if there are 18 total orders and 3 are for 3-pieces with cole slaw?

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The experimental probability is \( P = \frac{3}{18} = \frac{1}{6} \)

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How do you find the experimental probability of a drink being a small cocoa if 3 out of 20 drinks sold were small cocoa?

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The experimental probability is \( P = \frac{3}{20} \)

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If there are 50 vehicles in a parking lot and 7 are red cars, what is the experimental probability of selecting a red car?

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The experimental probability is \( P = \frac{7}{50} \)

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What is the formula for calculating the probability of independent events?

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For independent events, the probability of both events occurring is \( P(A \text{ and } B) = P(A) \times P(B) \)