Question

Find the probability

A bag contains 6 red marbles, 8 blue marbles, and 9 green marbles. What is the probability of choosing a blue marble?

Answer 1

Answer is in a box.

The bag contains 6 red marbles, 8 blue marbles and 9 green marbles, that is 23 marbles.

The probability that one of the 23 marbles will be picked is 1 or 100%, we are picking a marble for sure.

So what is the probability you will pick for example one of the 6 red marbles? It is 6 out of 23 but since we need percentages multiply by 100,

`(6)/(23)\cdot100\approx26.09\%`

The probability to pick a blue marble is,

`\boxed{(8)/(23)}\cdot100\approx34.78\%`

And the probability to pick a green marble is,

`(9)/(23)\cdot100\approx39.13\%`

To check that everything is right you can sum all the probabilities; the probability that it will be either red, blue or green is 100% so the individual probabilities must sum to 100%, and they do,

`26.09\%+34.78\%+39.13\%=100\%`

Hope this helps :)