SOLUTION: you have a bag containing 3 green marbles, 4 red marbles, and 2 yellow marbles. you select 1 marble randomly. what are the odds against selecting a green or yellow marble? a. 5:4

Algebra ->  Average -> SOLUTION: you have a bag containing 3 green marbles, 4 red marbles, and 2 yellow marbles. you select 1 marble randomly. what are the odds against selecting a green or yellow marble? a. 5:4      Log On


   



Question 1162559: you have a bag containing 3 green marbles, 4 red marbles, and 2 yellow marbles. you select 1 marble randomly. what are the odds against selecting a green or yellow marble?
a. 5:4
b. 9:4
c.4:9
d.4:5

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Answer:
d. 4:5


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Explanation:

The goal is to get a green or yellow marble. There are 3 green and 2 yellow, making 3+2 = 5 total. So there are 5 ways to get what we want. There are 4 ways to get what we don't want (those four red marbles)

The odds in favor of getting green or yellow is 5:4. We simply list the number of ways to get what we want, followed by a colon, then the number of ways to get what we don't want.

We have this basic format
odds in favor = (want) : (dont want)

The odds against will be the complete opposite. We list what we dont want first, then what we want next
odds against = (dont want) : (want)
odds against = 4:5