Question

If there are:

6 red marbles
10 yellow marbles
5 green marbles
and 1 blue marble
What is the probability of picking 1 red marble and 1 green marble?

(Once a marble is chosen it IS put back into the box).

(Write your answer in the form of a decimal, round to 2 places).

Answer 1

`probability = (1)/(2)`

Explanation:

Probability is the chance of an event happening. It can simply be defined by the following formula,

`probability = (desired\ outcomes)/(total\ outcomes)`

The total outcome is all of the possible outcomes or the sum of all of the types of marbles. The desired outcomes are the outcomes that one wants or the sum of the number of wanted marbles,

`total\ outcomes = red+yellow+green+blue\\=6+10+5+1\\=22`

`desried\ outcomes= red+green\\= 6 + 5\\=11`

Substitute into the formula to find the probability of an event:

`probability = (desired\ outcomes)/(total\ outcomes)`

`probability = (11)/(22)`

Simplify,

`probability = (11)/(22)`

`probability = (1)/(2)`