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Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 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?
Full solution
Q. Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 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?
- Calculate total combinations: Marvin has choices for his morning travel and choices for his evening travel, so there are possible combinations of travel methods for the day.
- Identify non-teleport options: There is only way for Marvin not to teleport at all: if he chooses to ride a dragon both ways or walk both ways. That's out of the combinations.
- Calculate probability of not teleporting: The probability that he does not teleport at all is . To find the probability that he teleports at least once, we subtract this from . So, .
