Respuesta :

Answer:

The probability of getting an even is [tex]\frac{1}{2}[/tex]  or [tex]0.5[/tex] or  [tex]50\%[/tex].

Step-by-step 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.

[tex]P(E)=\frac{number\ of\ possible\ outcomes}{total\ number\ of\ outcomes}[/tex]

Now we substitute the values, and get;

[tex]P(of\ even)=\frac{3}{6}=\frac{1}{2}[/tex]

expressing it in decimal = 0.5

expressing it in percent = [tex]\frac{1}{2}\times 100 =50\%[/tex]

Hence The probability of getting an even is [tex]\frac{1}{2}[/tex]  or [tex]0.5[/tex] or  [tex]50\%[/tex].