Which of the following is an example of theoretical probability?
a. there are 52 playing cards ina deck, and 4 of them are aces. the probability of turning over an ace is 4/52.
b. there were 73 people in a grocery store, and 45 of them bought milk. the probability of people buying milk is 45/ 73.
c. wendy flipped a coin 5 times, and the results were 4 tails. the probability of tails is 4/5.
d. kenny rolled a number cube 9 times and got 4 even numbers. the probability of an even number is 4/9.

option a and d are correct option.

step-by-step explanation:

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

for option "a" :

number of favorable outcome = 4

total number of outcome = 52

that is probability :

number of favorable outcome/total number of outcome = 4/52

so, this is an example of theoretical probability.

for option "b" :

number of favorable outcome = ^9c4 × 3^4 × 3^5 = 2480058

total number of outcome = 6^9 = 10077696

so, this is not an example of theoretical probability.

for option "c" :

number of favorable outcome = ^5c_4=5

total number of outcome = 2^5 = 32

so, this is not an example of theoretical probability.

for option "d'' :

number of favorable outcome = 45

total number of outcome = 73

that is probability :

number of favorable outcome/total number of outcome = 45/73

so, this is an example of theoretical probability.

so now we know that option "a" and "d" are correct !

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98

faster, im not sure why but i know it is faster