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iren2701 [21]
3 years ago
10

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.
Mathematics
2 answers:
Greeley [361]3 years ago
3 0
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 <span>theoretical probability is 12.5%.</span>
Alex_Xolod [135]3 years ago
3 0

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%)

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Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Two events, A and B are independent, if:

P(A \cap B) = P(A) P(B)

In this problem, the events are:

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  • Event B: Earning over $50,000.

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P(A) = \dfrac{450}{1000} = 0.45

850 earn over $50,000, hence:

P(B) = \dfrac{850}{1000} = 0.85

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P(A \cap B)  = \dfrac{375}{1000} = 0.375

The multiplication of the probabilities is:

P(A \cap B)  = 0.45(0.85} = 0.3825

Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

To know more about probability follow

brainly.com/question/24756209

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