Question

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

Answer 1

I think A is the answer I might be wrong tho

Answer 2

Option A and D are correct Option.

Explanation:

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

that is
`Probability=(Number\:of\:favorable\:outcome)/(Total\:Number\:of\:outcome)`

Option A:

Number of favorable outcome = 4

Total number of outcome = 52

`Probability=(Number\:of\:favorable\:outcome)/(Total\:Number\:of\:outcome)=(4)/(52)`

Thus, This is an example of Theoretical Probability.

Option B:

Number of favorable outcome =
`^9C_4*3^4*3^5=2480058`

Total number of outcome =
`6^9=10077696`

Thus, This is not an example of Theoretical Probability.

Option C:

Number of favorable outcome =
`^5C_4=5`

Total number of outcome =
`2^5=32`

Thus, This is not an example of Theoretical Probability.

Option D:

Number of favorable outcome =
`45`

Total number of outcome =
`73`

`Probability=(Number\:of\:favorable\:outcome)/(Total\:Number\:of\:outcome)=(45)/(73)`

Thus, This is an example of Theoretical Probability.

Therefore, Option A and D are correct Option.