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].