Question

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 1

the prime numbers on the dice are 1,2,3,5 and 7 , the theoretical  probability is 
$\frac{5}{8}$, which is 62.5%, the number of prime numbers in the outcome is 15, so the experimental probability is $\frac{3}{4}$, which is 75%, the difference between the experimental probability and the theoretical probability is 12.5%.

Answer 2

Answer:

Hence, the experimental probability of rolling a prime number is 75%, which is 25% more than the theoretical probability.

Step-by-step explanation:

We know that there are 4 prime numbers in a 8-sided die.

Hence, the theoretical probability of rolling a prime number is:

      4/8=1/2=50%

We are given the outcomes on rolling a 8-sided die 20 times is:

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

The outcomes that are prime are:

{ 3   2    5    7    1    3    7    2    2    1    7    3    1    3    5}

Number of favorable outcomes= 15

Total number of outcomes = 20

Let P denote the probability of an event,.

P(rolling a prime number)=15/20=3/4=75%

Hence, the experimental probability of rolling a prime number is 75%, which is 25% more than the theoretical probability.

( Since, 75%-50%=25%)