Question

Find the probability of rolling an even number when you roll a die containing the numbers 1-6. Express the probability as a fraction, decimal, and percent.

Answer 1

The probability of getting an even is
`(1)/(2)` or
`0.5` or
`50\%`.

Explanation:

Given,

a die containing the numbers 1-6 is rolled.

We need to find the probability of rolling an even number.

Solution,

Here given that the rolled die contain the numbers 1-6.

So we can say that 1, 2, 3, 4, 5, 6 may be the outcomes.

So the total number of outcomes = 6

Now will find the even.

so there are 2, 4, 6, are the even.

therefore number of possible outcomes = 3

Now we use the formula of probability.

`P(E)=(number\ of\ possible\ outcomes)/(total\ number\ of\ outcomes)`

Now we substitute the values, and get;

`P(of\ even)=(3)/(6)=(1)/(2)`

expressing it in decimal = 0.5

expressing it in percent =
`(1)/(2)* 100 =50\%`

Hence The probability of getting an even is
`(1)/(2)` or
`0.5` or
`50\%`.