Respuesta :
Answer:
The probability of not rolling a 5 is [tex]\frac{5}{6}[/tex].
Step-by-step explanation:
Given : A number cube with six sides numbered 1 through 6 is rolled. the probability of rolling a 5 is [tex]\frac{1}{6}[/tex].
To find : What is the probability of not rolling a 5?
Solution :
A number cube with six sides numbered 1 through 6 is rolled.
The probability of rolling a 5 is [tex]\frac{1}{6}[/tex].
The probability of occurring event is 1.
The probability of not rolling a 5 = 1- Probability of rolling 5
[tex]\text{P(not rolling 5)}=1-\text{P(rolling 5)}[/tex]
[tex]\text{P(not rolling 5)}=1-\frac{1}{6}[/tex]
[tex]\text{P(not rolling 5)}=\frac{6-1}{6}[/tex]
[tex]\text{P(not rolling 5)}=\frac{5}{6}[/tex]
Therefore, The probability of not rolling a 5 is [tex]\frac{5}{6}[/tex].
