Question

The odds in favor of a randomly selected person in a certain classroom is left handed are 3:22. What is the PROBABILITY that a randomly selected person from the room is left handed (as a percent!)

P(left)=

Answer 1

12%

Explanation:

Odds in favor means number of favorable outcomes : number of unfavorable outcomes

Here favorable outcome is selecting a left-handed person

So odds of 3:22 means that the ratio of selecting left-handed person to right-handed person is
`(3)/(22)`

P(left) =
`(3)/(3+22) = (3)/(25)`

P(left) as percent =
`(3)/(25)\cdot100` = 12%