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In: Statistics and Probability

Cynthia is a rideshare driver, and she often starts and stops her car. Each time Cynthia...

Cynthia is a rideshare driver, and she often starts and stops her car. Each time Cynthia starts her car it either runs or stalls. If her car stalls when she starts it, then it always runs the next time she starts it. If her car runs when she starts it, then next time it is ten times as likely to stall as it is to run.

How often in the long run does Cynthia's car run when she starts it? Answer with a fraction in lowest terms.

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