Answer:
The probability that he teleports at least once a day = [tex]\mathbf{\frac{5}{9}}[/tex]
Step-by-step explanation:
Given -
Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation options teleport ride a dragon or walk to work and in the evening he has the same three choices for his trip home.
Total no of outcomes = 3
P( He not choose teleport in the morning ) = [tex]\frac{2}{3}[/tex]
P( He not choose teleport in the evening ) = [tex]\frac{2}{3}[/tex]
P ( he choose teleports at least once a day ) = 1 - P ( he not choose teleports in a day )
= 1 - P( He not choose teleport in the morning ) [tex]\times[/tex] P( He not choose teleport in the evening )
= [tex]1 - \frac{2}{3}\times\frac{2}{3}[/tex]
= [tex]\frac{5}{9}[/tex]
