Question
An experiment was conducted where two dice were rolled 50 times. The sum of the faces are recorded in the chart.
What is the experimental probability of rolling an 8?
Responses
A 12%12%
B 14%14%
C 16%16%
D 18%18%
Question 2
What is the theoretical probability of rolling an 8, and how do the experimental and theoretical probabilities compare?
Responses
A The theoretical probability is 11.1%. The experiment rolled more 8's than would be expected theoretically.The theoretical probability is 11.1%. The experiment rolled more 8's than would be expected theoretically.
B The theoretical probability is 16.7%. The experiment rolled less 8's than would be expected theoretically.The theoretical probability is 16.7%. The experiment rolled less 8's than would be expected theoretically.
C The theoretical probability is 13.9%. The experiment rolled more 8's than would be expected theoretically.The theoretical probability is 13.9%. The experiment rolled more 8's than would be expected theoretically.
D The theoretical probability is 19.4%. The experiment rolled less 8's than would be expected theoretically.
What is the experimental probability of rolling an 8?
Responses
A 12%12%
B 14%14%
C 16%16%
D 18%18%
Question 2
What is the theoretical probability of rolling an 8, and how do the experimental and theoretical probabilities compare?
Responses
A The theoretical probability is 11.1%. The experiment rolled more 8's than would be expected theoretically.The theoretical probability is 11.1%. The experiment rolled more 8's than would be expected theoretically.
B The theoretical probability is 16.7%. The experiment rolled less 8's than would be expected theoretically.The theoretical probability is 16.7%. The experiment rolled less 8's than would be expected theoretically.
C The theoretical probability is 13.9%. The experiment rolled more 8's than would be expected theoretically.The theoretical probability is 13.9%. The experiment rolled more 8's than would be expected theoretically.
D The theoretical probability is 19.4%. The experiment rolled less 8's than would be expected theoretically.
Answers
Can't answer part 1, since we don't have the data.
for part 2 ....
ways to get a sum of 8: 2,6 3,5 4,4, 5,3, 6,2 , which is 5 way
prob(a sum of 8) = 5/36 = .13888...
or 13.9%
for part 2 ....
ways to get a sum of 8: 2,6 3,5 4,4, 5,3, 6,2 , which is 5 way
prob(a sum of 8) = 5/36 = .13888...
or 13.9%
Correct! The theoretical probability of rolling an 8 is 13.9%.
then why didn't you answer it ???
I apologize for the confusion. You are correct. The answer to part 2 is C. The theoretical probability is 13.9%, and the experiment rolled more 8's than would be expected theoretically.