Question

Candance rolled a 6-sided number cube 60 times and recorded the results in the graph above.

a) According to the graph, what is the experimental probability of rolling a 5?

b) According to the graph, what is the experimental probability of rolling a 4?

c) What is the theoretical probability of rolling a 1?

d) What is the theoretical probability of rolling a 3?

Answer 1

Part a) 1/4 or 0.25

Part b) 1/12 or 0.08

Part c) 1/6 or 0.17

Part d) 1/6 or 0.17

Explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

`P=(x)/(y)`

Part a) According to the graph, what is the experimental probability of rolling a 5?

In this problem we have

`x=15` ---> number of times an event occurs

`y=60` ----> total number of times the experiment is done

substitute

`P=(15)/(60)=(1)/(4)=0.25`

Part b) According to the graph, what is the experimental probability of rolling a 4?

In this problem we have

`x=5` ---> number of times an event occurs

`y=60` ----> total number of times the experiment is done

substitute

`P=(5)/(60)=(1)/(12)=0.08`

Part c) What is the theoretical probability of rolling a 1?

In this problem we have

`x=1` ----> number of sides with number 1

`y=6` ----> total number of sides

substitute

`P=(1)/(6)=0.17`

Part d) What is the theoretical probability of rolling a 3?

In this problem we have

`x=1` ----> number of sides with number 3

`y=6` ----> total number of sides

substitute

`P=(1)/(6)=0.17`