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A train arrives at a station and waits 2 min before departing. Another train arrives at the station 18 minutes later, repeating the cycle. Identify the probability that a train will be at the station when you arrive.

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konrad509

[tex]|\Omega|=20\\|A|=2\\\\P(A)=\dfrac{2}{20}=\dfrac{1}{10}=10\%[/tex]

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Answer:

1/10.

Step-by-step explanation:

The length of each cycle is 2 + 18 = 20 minutes.

During this time  the train in stationary for 2 minutes.

So the probability of the train being at the station when you arrive is 2/20 = 1/10.

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