Question

Alex needs to catch a train. The train arrives randomly some time between and , waits for minutes, and then leaves. If Alex also arrives randomly between and , what is the probability that the train will be there when Alex arrives

1. The probability that the train will be there when Alex arrives is 0.1.
Given that the time that  train arrives between 1:00 P.M to 2:00 P.M. and waits for 10 minutes. Alex arrives between 1:00 P.M to 2:00 P.M.
We are required to find the probability that the train when Alex arrives.
Probability is the likeliness of happening an event among all the events that are possible to happen.
Probability=Number of items/total number of items.
Number of combinations of timings in which the train may have arrived=60/10=6 combinations
Number of ways in which Alex arrives at the station=60.
Probability=6/60
=1/10
=0.1
Hence the probability that the train will be there when Alex arrives ie 0.1.
Question is incomplete. The following things should be included:
Timing in which train arrives is between 1:00 P.M and 2:00 P.M.The train waits for 10 minutes. Alex arrives between 1:00 P.M and 2:00 P.M.