Question

A given bag contains 8 red balls, 6 green balls, and 11 blue balls. If you were to draw one of the balls randomly from this bag, what is the probability that the ball you draw randomly will be blue?

Answer 1

`\boxed {\boxed {\sf (11)/(25) \ or \ 0.44}}`

Explanation:

The probability of an event can be found by dividing the favorable outcomes by all outcomes.

`P=(favorable \ outcomes)/(all \ outcomes)`

We want to find the probability of a blue ball. In this situation, the favorable outcomes are the blue balls. The total number of balls is all the outcomes.

`P(blue)=(blue \ balls )/(all \ balls )`

There are 11blue balls.

• Find the total number of balls, which is the sum.
• 8 red+ 6 green + 11 blue=25 total

`P(blue)=(11)/(25)`

This fraction cannot be reduced further, so it is the answer. As a decimal it is:

`P(blue)=0.44`

The probability of drawing a blue marble is 0.44 or 11/25