A student figures that he has a % chance of being let out of class late. if he leaves class late, there is a % chance that he will miss his train. what is the probability that he gets out of class late and misses the train?
Question: A student figures that he has a % chance of being let out of class late. if he leaves class late, there is a % chance that he will miss his train. what is the probability that he gets out of class late and misses the train?
The probability that the student gets out of class late AND misses the train is equal to the product of the two probabilities: the probability of being let out of class late (expressed as a decimal) multiplied by the probability of missing the train given that he leaves class late (also expressed as a decimal). So, if the probability of being let out of class late is 25% (or 0.25) and the probability of missing the train given that he leaves class late is 40% (or 0.4), then the probability that he gets out of class late and misses the train is 0.25 x 0.4 = 0.1 or 10%.
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