Question

Five people ​(Aaron ​, Byron ​, Carina ​, Duncan ​, and Evelyn ​) form a​ club, Nequals ​{A, ​B, C,​ D, E}. Carina and Evelyn are​ women, and the others are men. If they choose a treasurer ​randomly, find the odds in favor of Evelyn becoming treasurer . The odds in favor of Evelyn becoming treasurer are

Answer 1

Answer:

1/5 or 20% since there are five people it could potentially be and Evelyn is one of them.

Answer 2

Answer is   1:4

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Explanation:

When we talk about "odds in favor", we will use a colon to separate two whole numbers. The first number represents the number of ways for Evelyn to be chosen treasurer (just one way) and the second number represents all the ways she doesn't get chosen (the four other people)

Put another way, writing "odds in favor are 1:4" basically means "there's 1 way to get Evelyn elected and 4 ways for her to not get elected"

Instead of writing 1:4 you could write "1 to 4"

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Side note: Contrast this with "odds against" and the ratio would flip from 1:4 to 4:1. Same idea, but the number of failures is listed first because we're focusing on the "against" (instead of "favor") portion. We read "4:1" as "4 to 1".