Respuesta :
Rolling a single die student gets the row
1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6,
where numbers
- 1, 5, 3, 3, 5, 3, 3, 1, 3, 5, 3 are odd;
- 2, 6, 6, 4, 4, 6, 2, 2, 6 are even.
Here are 10 odd numbers and 10 even numbers. Then the experimental probability of rolling an even number is
[tex]Pr_{experimental}(\text{Even Number})=\dfrac{10}{20}=0.5.[/tex]
Now count the theoretical probability of rolling an even number. A die has 6 numbers: 1, 2, 3, 4, 5, 6. Three of them are even and three of them are odd. Then the theoretical probabilty is
[tex]Pr_{theoretical}(\text{Even Number})=\dfrac{3}{6}=0.5.[/tex]
Answer: both probabilities are the same
Answer:
Probability of observed is less that probability of theoretical of getting an even number.
Step-by-step explanation:
Given : A student decides to run a simulation of rolling an even number with a single die.
Outcomes - 1 5 3 2 3 6 5 6 3 3 4 4 1 3 6 5 3 2 2 6
To find : Use the simulate results from 20 attempts to estimate the probability, then compare your estimation with the theoretical probability?
Solution :
First we make the frequency distribution table,
X Frequency
1 2
2 3
3 6
4 2
5 3
6 4
Total - 20
Now, The observed probability of getting an even number.
Favorable outcomes of number appeared even = 3+2+4=9
Total number of outcome = 20
Probability of getting even number is [tex]P=\frac{9}{20}=0.45[/tex]
Then, Theoretical probability of getting an even number.
Favorable outcome = 3
Total number of outcome = 6
Probability of getting even number is [tex]P=\frac{3}{6}=\frac{1}{2}=0.5[/tex]
As 0.45<0.5 , Observed < Theoretical
We simulate that probability of observed is less that probability of theoretical of getting an even number.
