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

Answer 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.

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