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Digital SAT
Digital SAT Mathematics - Calculator Section

Probability of Commuting Patterns

Very Hard Problem Solving And Data Analysis Probability And Statistics

In a certain city, a survey was conducted to understand the commuting patterns of its residents. Of the respondents, 60% reported that they commute by car, 25% reported commuting by public transportation, and the remaining respondents walk or use other means. If a resident is randomly selected, what is the probability that the resident either commutes by public transportation or does not commute by car?

Let C represent the event that a randomly selected resident commutes by car.

Let P represent the event that a randomly selected resident commutes by public transportation.

The total probability can be found using the formula: $$ P(P ext{ or not } C) = P(P) + P( ext{not } C) - P(P ext{ and not } C) $$

Hint

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