Question

A bag has 20 cubes in it. 6 of the cubes are

green.
You take one cube out of the bag at random.
Which four values below show the probability
that you take out a cube that is green?
6
14
6%
0.3
30% 0.6
3 6
5 20
6
10
60%
3
10
0.03
6
26

Answer 1

The answer is:

0.3,
30%,
3/10
6/20

Why? Well, see below!

The total number of cubes present in the bag is 20. 6 of these cubes present are green. Since 20 is the total number, that would mean that 100% = 20. Because 100 divided by 20 = 5, we can multiply 6 by 5 to get the amount of cubes that would be green out of 100.

6 x 5 = 30

Therefore, 30/100 cubes are green. This also is representative of the probability of taking a cube out that is green because it’s a ratio of 30 green cubes : 100 total cubes.

Because 30/100 is not a whole number, anything equivalent to 30/100 will be our answer. In decimated form, this converts to 0.3. In fraction form, these numbers both can be divided by 5 since they are even.

100 / 5 = 20
30 / 5 = 6

However, we are not done. 6/20 can also be reduced by 2.

20 / 2 = 10
6 / 2 = 3

Your final fraction conversion would be 3/10, which is an answer choice. Since 3/10 = 30/100, we know that as a percentage, that is the equivalent to 30%.

6/20 is also our answer because it is the same fraction as 3/10, it just is not reduced.

Your final answers: 30%, 3/10, 6/20, 0.3. If you need help, let me know and I will gladly assist you.

Answer 2

Answer: 0.3,
`(6)/(20)`,
`(3)/(10)`, 30%

Explanation:

We will divide wanted outcomes by possible outcomes.

`\displaystyle \frac{\text{wanted outcomes, green cubes}}{\text{possible outcomes, cubes in bag}} =(6)/(20)`

Now, we will find four values equivalent to
`(6)/(20)`. See attached.