Simple Probability & Predictions

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What is probability?

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Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1, where 0 means the event will not happen and 1 means it will definitely happen.

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How do you calculate the probability of a single event?

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The probability of a single event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

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What is a favorable outcome in probability?

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A favorable outcome is the specific result of an event that we are interested in when calculating probability.

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If a number cube (die) is rolled, what is the probability of rolling a 2?

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The probability of rolling a 2 on a standard die is 1/6, since there is one favorable outcome (rolling a 2) out of six possible outcomes.

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What is the probability of rolling either a 2 or a 3 on a number cube?

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The probability of rolling a 2 or a 3 is 2/6, which simplifies to 1/3.

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What does it mean to predict outcomes based on probability?

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Predicting outcomes based on probability involves using known probabilities to estimate how many times an event will occur in a larger sample.

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How can you use a survey to predict preferences?

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You can use the results of a survey to estimate how many people in a larger group would have the same preference, based on the proportion of responses in the survey.

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If 150 people prefer soccer, how many would prefer it if 25 people were surveyed?

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If 150 people prefer soccer, and you survey 25 people, you would predict that 5 people (1/30 of 150) would prefer soccer.

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What is a sample in statistics?

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A sample is a subset of a population used to represent the whole population in statistical analysis.

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What is the importance of sample size in surveys?

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A larger sample size generally leads to more accurate and reliable results, as it better represents the population.