Experimental and Theoretical Probability

Front

What is Experimental Probability?

Back

Experimental Probability is the probability of an event based on the results of an experiment or trial. It is calculated as the number of times an event occurs divided by the total number of trials.

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What is Theoretical Probability?

Back

Theoretical Probability is the probability of an event based on the possible outcomes in a perfect world. It is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you calculate the probability of picking a quarter from a bag containing 5 quarters, 2 dimes, and 4 pennies?

Back

P(Quarter) = Number of Quarters / Total Coins = 5 / (5 + 2 + 4) = 5/11.

Front

What is the probability of not selecting a red card from a deck with 18 red, 12 yellow, and 20 blue cards?

Back

P(Not Red) = Number of Non-Red Cards / Total Cards = (12 + 20) / (18 + 12 + 20) = 32/50 = 16/25.

Front

How do you find the experimental probability of rolling a 3 with the results: 1, 3, 3, 4, 4?

Back

P(3) = Number of 3s / Total Rolls = 2 / 5 = 2/5.

Front

What is the theoretical probability of randomly picking a Purple marble from a sack containing 2 Purple, 3 Red, and 10 Blue marbles?

Back

P(Purple) = Number of Purple Marbles / Total Marbles = 2 / (2 + 3 + 10) = 2/15.

Front

How do you calculate the experimental probability of rolling a 1 with the results: 1, 3, 3, 4, 4?

Back

P(1) = Number of 1s / Total Rolls = 1 / 5 = 1/5.

Front

What is the formula for calculating probability?

Back

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes.

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What is a favorable outcome in probability?

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A favorable outcome is an outcome that satisfies the condition of the event we are interested in.

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What does it mean if an event is certain?

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If an event is certain, it has a probability of 1, meaning it will definitely occur.