Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 3 33 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 3 33 choices for his trip home. If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?
Answers
Given : Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning and evening , 3 transportation options
teleport , ride a dragon ,Walk
To find : probability that he teleports at least once per day
Solution:
In the morning and evening , 3 transportation options
teleport
ride a dragon
Walk
Probability of using Teleport = 1/3
Probability of not using teleport = 1 - 1/3 = 2/3
probability that he teleports at least once per day
= 1 - he Does not use teleport any time
= 1 - (2/3)(2/3)
= 1 - 4/9
= 5/9
Another method
He use in morning only , evening only or both times
= (1/3)(2/3) + (2/3)(1/3) + (1/3)(1/3)
= 2/9 + 2/9 + 1/9
= 5/9
5/9 is the probability that he teleports at least once per day
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