Answer:
The experimental probability of rolling an odd number is
55%, which is
5% more than the theoretical probability.
Step-by-step explanation:
3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6
The odd outcomes are in bold below:
3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6
There were 20 rolls of the die. 11 of the 20 rolls were odd.
experimental probability of rolling an odd number = 11/20 = 55%
The die has 4 even numbers and 4 odd numbers. The theoretical probability of rolling an odd number is
theoretical probability of rolling an odd number = 4/8 = 1/2 = 50%
The experimental probability is 5% more than the theoretical probability.
Answer: The experimental probability of rolling an odd number is
55%, which is
5% more than the theoretical probability.
Answer:
The experimental probability of rolling a prime number is 75%, which is 25% more than the theoretical probability.
Step-by-step explanation:
Given : 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
To find : The experimental probability of rolling an odd number is ____%, which is ____% more than the theoretical probability?
Solution :
1) Theoretical probability
Sample - 1,2,3,4,5,6,7,8
Rolling a prime number from sample is 2,3,5,7=4
Total sample = 8
The theoretical probability of rolling a prime number is
[tex]P=\frac{4}{8}=\frac{1}{2}=0.5[/tex]
In percentage, 0.5=50%
2) The experimental probability
Outcomes - 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
Now, The experimental probability of rolling a prime number is
[tex]P=\frac{15}{20}=\frac{3}{4}=0.75[/tex]
In percentage, 0.75=75%
As 75%-50%=25%
Therefore, The experimental probability of rolling a prime number is 75%, which is 25% more than the theoretical probability.
