which of the following is an example of theoretical probability?
There are 52 playing cards in a deck, and 4 of them are aces. The probability of turning over an ace is 4/52
B. Kenny rolled a number cube 9 times and got 4 even numbers. The probability of an even number is 4/9
C. Wendy flipped a coin 5 times, and the results were 4 tails. The probability of tails is 4/5
D. There were 73 people in a grocery store, and 45 of them bought milk. The probability of people buying milk is 45/73

Theoretical Probability: Probability based on reasoning written as a ratio of the number of favorable outcomes to the number of possible outcomes.

that is [tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}[/tex]

Option A:

Number of favorable outcome = 4

Total number of outcome = 52

[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{4}{52}[/tex]

Thus, This is an example of Theoretical Probability.

Option B:

Number of favorable outcome = [tex]^9C_4\times3^4\times3^5=2480058[/tex]

Total number of outcome = [tex]6^9=10077696[/tex]

Thus, This is not an example of Theoretical Probability.

Option C:

Number of favorable outcome = [tex]^5C_4=5[/tex]

Total number of outcome = [tex]2^5=32[/tex]

Thus, This is not an example of Theoretical Probability.

Option D:

Number of favorable outcome = [tex]45[/tex]

Total number of outcome = [tex]73[/tex]

[tex]Probability=\frac{Number\:of\:favorable\:outcome}{Total\:Number\:of\:outcome}=\frac{45}{73}[/tex]

Thus, This is an example of Theoretical Probability.

Therefore, Option A and D are correct Option.