Answer and explanation:
Given : Candace rolled a 6-sided number cube 60 times and recorded the results in the graph.
We know, [tex]\text{Probability}=\frac{\text{Favorable outcome}}{\text{Total number of outcome}}[/tex]
To find :
a) According to the graph, what is the experimental probability of rolling a 5?
In the graph,
The number of rolls a 5 is 15.
Total number of rolls = 60
The probability is given by,
[tex]\text{P(rolling 5)}=\frac{15}{60}[/tex]
[tex]\text{P(rolling 5)}=\frac{1}{4}[/tex]
b) According to the graph, what is the experimental probability of rolling a 4?
In the graph,
The number of rolls a 4 is 5.
Total number of rolls = 60
The probability is given by,
[tex]\text{P(rolling 4)}=\frac{5}{60}[/tex]
[tex]\text{P(rolling 4)}=\frac{1}{12}[/tex]
c) What is the theoretical probability of rolling a 1?
The number of rolls a 1 is 1.
Total number of rolls = 6
The probability is given by,
[tex]\text{P(rolling 1)}=\frac{1}{6}[/tex]
d) What is the theoretical probability of rolling a 3?
The number of rolls a 3 is 1.
Total number of rolls = 6
The probability is given by,
[tex]\text{P(rolling 3)}=\frac{1}{6}[/tex]
