Question

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 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 a day

Answer 1

The probability that he teleports at least once a day =
`\mathbf{(5)/(9)}`

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 ) =
`(2)/(3)`

P( He not choose teleport in the evening ) =
`(2)/(3)`

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 )
`*` P( He not choose teleport in the evening )

=
`1 - (2)/(3)*(2)/(3)`

=
`(5)/(9)`