Question

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A number cube is rolled 450 times. The number 3 comes up 67 times.
a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.

Answer 1

Answer:

Theoretical  P(3) = 1/6

Experimental P(3) = 67/450

Step-by-step explanation:

A die has 6 possibilities that can come up {1,2,3,4,5,6}  They are all equally likely, so each has a probability of 1/6

a  P(getting a 3) = 1/6

We rolled a 3 67 times out of 450.  This is our experimental probability

b P (getting a 3) = 67/450

This does not simplify