SOLUTION: A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes: 3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6 The experimental probability of rollin

Algebra ->  Probability-and-statistics -> SOLUTION: A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes: 3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6 The experimental probability of rollin      Log On


   

Question 1034822: A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes:
3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6
The experimental probability of rolling a prime number is %, which is % more than the theoretical probability.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
The prime numbers on the die are 2,3,5,7
The non-primes are 1,4,6,8.  So the theoretical 
probability  of rolling a prime is 1/2, and the 
theoretical probability of rolling a non-prime 
is also 1/2. 1/2 is 50%.

For the experimental sequence of 20 rolls, I
will put P's under the prime numbers. 

3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6
P   P   P   P P P   P   P P       P P  

There are 11 primes out of 20, so the experimental
probability is 11/20 = 0.55 or 55%.

The experimental probability of rolling a prime number is 55%,
which is 5% more than the theoretical probability of 50%.
Edwin