marvin lives in stormwind city and works as an engineer in the city of ironforge. in the morning, he has 3…

marvin lives in stormwind city and works as an engineer in the city of ironforge. in the morning, he has 3 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 3 choices for his trip home.\n\nif 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?

marvin lives in stormwind city and works as an engineer in the city of ironforge. in the morning, he has 3 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 3 choices for his trip home.\n\nif 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?

Answer

Explanation:

Step1: Calculate total possibilities

The total number of ways to choose a transportation - method in the morning and evening is $3\times3 = 9$ since there are 3 options in the morning and 3 options in the evening.

Step2: Calculate non - teleporting possibilities

The number of ways to not teleport in the morning and not teleport in the evening is $2\times2=4$ (because if he doesn't teleport, he has 2 other options in the morning and 2 other options in the evening).

Step3: Calculate probability of teleporting at least once

The probability of not teleporting at all is $\frac{4}{9}$. So the probability of teleporting at least once is $1-\frac{4}{9}=\frac{5}{9}$.

Answer:

$\frac{5}{9}$