A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 9 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?

- anonymous

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- jim_thompson5910

hint: all of the probabilities must add to 1

- anonymous

does anyone understand this

- anonymous

so what does it mean?

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## More answers

- jim_thompson5910

x = probability of landing on green
\[\Large \frac{9}{20}+\frac{6}{20}+x = 1\]
are you able to solve for x ?

- anonymous

no cause i have lots of math to do

- anonymous

ill try

- jim_thompson5910

first combine the fractions on the left side

- jim_thompson5910

tell me what you get

- anonymous

|dw:1438823076684:dw|

- jim_thompson5910

good

- jim_thompson5910

we have this now
\[\Large \frac{15}{20}+x = 1\]

- jim_thompson5910

subtract 15/20 from both sides
\[\Large \frac{15}{20}+x = 1\]
\[\Large \frac{15}{20}+x-\frac{15}{20} = 1-\frac{15}{20}\]
\[\Large x = 1-\frac{15}{20}\]
\[\Large x = ???\]

- anonymous

idk

- jim_thompson5910

try to think of the "1" as "20/20"

- anonymous

14/20

- jim_thompson5910

try again

- jim_thompson5910

\[\Large x = 1-\frac{15}{20}\]
\[\Large x = \frac{20}{20}-\frac{15}{20}\]
\[\Large x = ??\]

- anonymous

5/20

- jim_thompson5910

correct, which reduces to 1/4

- anonymous

which is the answer

- jim_thompson5910

5/20 is equivalent to 1/4. I just reduced

- jim_thompson5910

it's always a good idea to reduce fractions as much as possible

- anonymous

that is nt an answer choice

- anonymous

@jim_thompson5910

- jim_thompson5910

what answer choices do they give you?

- anonymous

The probabilities are equal.
The probability of landing on the open end is greater.
The probability of landing on the closed end is greater.
No conclusion can be made.

- anonymous

@jim_thompson5910

- jim_thompson5910

this was for a different problem

- anonymous

opps let me send the actual chocies

- anonymous

15 over 20
11 over 20
6 over 20
5 over 20

- jim_thompson5910

so it looks like they didn't reduce the fraction, which is odd

- jim_thompson5910

so just don't reduce 5/20

- anonymous

kk

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