easy Probability
A release-checked easy problem for training Conditional Probability, Continuous Random Variables.
A stoplight displays the colors red (stop), yellow (slow down), and green (go). The colors go in the sequence green $\rightarrow$ yellow $\rightarrow$ red. The light stays green for $40$ seconds until it switches to yellow for $4$ seconds. Afterwards, it turns red for $40$ seconds before turning green again and repeating the cycle. Find the probability that the color of the stoplight switches in a $4$ second interval.
This Probability problem is tagged Conditional Probability, Continuous Random Variables. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.
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