James lives in San Francisco and works in Mountain View. In the morning, he has 3 transportation options (bus, cab, or train) to work, and in the evening he has the same 3 choices for his trip home. If James randomly chooses his ride in the morning and in the evening, what is the probability that he'll take the same mode of transportation twice?

Question

Mathematics

Grant Fritz

6 February, 04:47

James lives in San Francisco and works in Mountain View. In the morning, he has 3 transportation options (bus, cab, or train) to work, and in the evening he has the same 3 choices for his trip home. If James randomly chooses his ride in the morning and in the evening, what is the probability that he'll take the same mode of transportation twice?

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Answers (1)

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Lorelei Rasmussen · Answer 1

Because he has three options to work each morning, each option has a 1/3 chance of happening each time.

1/3*1/3=1/9

There is a 1/9 (or 0.111 or 11.1% chance) of James using the same transportation twice in a day.