Question

A bag contains 15 red marbles, 13 blue marbles,

and the rest are yellow marbles. There are a
total of 50 marbles in the bag. What is the
probability of choosing a yellow marble?
3
A)
10
13
B)
50
14
C)
25
11
D)
25

Answer 1

`(11)/(25)` chance

In percent form;

44%

Explanation:

1. Approach

First, one must find the amount of yellow marbles in the bag. This can be done by subtracting the amount of red and blue marbles from the total marbles in the bag. Then one will set up a proportion and solve to find out the probability of choosing a yellow marble. Remember, probability is
`(desired_(.)outcomes)/(total_(.)outcomes)`

2. Find the amount of yellow marbles

Subtract the number of red and blue marbles from the total marbles in the bag;

`total_(.)marbles-(red+blue)\\\\=50-(15+13)\\\\=50-28\\\\=22`

There are
`22` yellow marbles.

3. Find the probability of selecting a yellow marble

Remember, probability is
`(desired_(.)outcomes)/(total_(.)outcomes)` and a percent is out of 100. Using this knowledge one can set up a proportion in the format;

`(desired_(.)outcomes)/(total_(.)outcomes) = (percent)/(100)`

Substitute;

`(22)/(50)=(percent)/(100)`

Simplify,

`(11)/(25)=(percent)/(100)`

Cross products,

`(11)/(25)=(percent)/(100)\\\\1100=25*(percent)\\`

Inverse operations;

`1100=25*(percent)\\/25\\\\44=percent`

Answer 2

11/25

Explanation:

15 red, 13 blue, and 50 total. Therefore, yellow = 50-15-13=22.

Probability (yellow) = 22/50 = 11/25