John needs to catch a train. The train arrives randomly some time between 2:00 and 3:00, waits for 20 minutes, and then leaves. If John also arrives randomly between 2:00 and 3:00, what is the probability that the train will be there when John arrives?

Respuesta :

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

If train arrives between 2:00 to 3:00 (60min) and waits for 20 min and leaves, probability of finding train in that 60 min is [tex]\frac{20}{60}=\frac{1}{3}[/tex].

Probability of finding John is [tex]\frac{1}{60}[/tex] can arrive any minute.

now the probability of finding both john and train is [tex]\frac{1}{60}[/tex]*[tex]\frac{20}{60}[/tex]=[tex]\frac{1}{16}[/tex].

This is compound Probablity Problem.

Answer:

yall cheating and give the guy above 1 star?? smh

Step-by-step explanation: