Question

You conduct an experiment where you roll a die and record the results. You roll the die 1,230 times, and the results are shown in the table below:
Result Frequency

1 245

2 172

3 219

4 201

5 137

6 256


What is the experimental probability of rolling a 1 on your next roll?

A.

0.1667


B.

0.1992


C.

0.245


D.

0.3275

Part B. What is the theoretical probability of rolling a 3 on your next roll?
A.
0.167

B.
0.178

C.
0.245

D.
0.333

The probability of an event is
2/7
What are the odds of the same event?

A. 7/9
B. 5/7
C. 2/9
D. 2/5

If I could get some help That'd Be Greattt

Answer 1

Answer:

The experimental probability of rolling a 1 is 0.1992 (B).  The Theoretical probability of rolling a 3 on your next roll is 0.167 (A).  The last question is a bit redundant, but I think they are looking for 5/7 (B).

Step-by-step explanation:

For this question, it is important to understand the difference between experimental probabilty and theoretical probability.  Experimental is the results that you actually get from performing the experiment or process, while theoretical is what you should get from peforming the same experiment.  In this case, they give us the actual, or experimental, results.  So, for Part A, we need to use these results to find the experimental probability of rolling 1, which is 245/1230, or 0.1667.  However, for Part B, they are asking for the theoretical probability, which is what should happen.  On a six-sided number cube (die), you only have 6 outcomes one of which is the number 3.  So, the theoretical probablity of rolling a 3 is 1/6, or 0.1667.  Lastly, if the probability of an event happening is 2/7, the probability that the event will NOT happen is 5/7.