Question

karen arrives at the subway station every day at a random time and takes the first train that arrives. if she takes the a train, which arrives regularly every hour, she goes to the museum. if she takes the b train, which also arrives regularly every hour, she goes to the beach. a month after starting this game, she has gone to the beach 25 times and to the museum 5 times. of the following options, which is the most likely explanation? choose the correct answer below. a. the a train always arrives 10 minutes after the b train, so karen decides to wait for train a so she does not need to rush. b. the a train always arrives 10 minutes after the b train, so karen takes train b and does not wait for train a. c. the a train arrives on the hour and the b train always arrives 30 minutes later, but karen chooses wait the extra 30 minutes for train b. d. the a train always arrives 10 minutes before the b train, but karen chooses to take train b. e. the a train always arrives 10 minutes before the b train, but karen misses train a and takes train b.

Explanation:

Since Karen goes to the beach (takes train B) 25 times and to the museum (takes train A) 5 times, she is much more likely to take train B. If the A - train always arrives 10 minutes after the B - train, in a 60 - minute cycle, for 50 out of 60 minutes, the next train to arrive is the B - train when Karen arrives at a random time. So she will take the B - train much more frequently.

Answer:

B. The A train always arrives 10 minutes after the B train, so Karen takes train B and does not wait for train A.