A poll of teenagers in one town showed that 43 % play a team sport. It also showed that 21 % pla

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A poll of teenagers in one town showed that 43 % play a team...

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Key Concepts

Conditional Probability

Conditional probability is the likelihood of an event occurring given that another event has already occurred. This concept is fundamental in probability theory and is described using the formula P(B|A) = P(A and B) / P(A), where A is the condition and B is the event of interest. It allows us to update our probability estimates based on new or additional information.

Probability

Probability measures the chance of an event occurring and is typically expressed as a fraction, decimal, or percentage. It provides a quantitative basis for predicting how likely events will occur in a given sample space. Understanding probability is essential for assessing risk, uncertainty, and making informed decisions in various fields.

Conversion Between Percentages and Probabilities

Percentages provide an alternative way to represent probabilities by showing the chance of an event as parts per hundred. Converting between these forms, such as dividing the percentage by 100 to obtain a decimal probability, is important for proper calculation and interpretation in probability problems.

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