Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 100 of the 125 customers did not get a star on their receipts. What is the experimental probability of winning a free gallon of milk?
There are different ways to approach this problem, but one possible method is:
- Define the event of interest as "winning a free gallon of milk with a food purchase."
- Count the number of customers who could potentially win based on the given information. Since there are 125 customers in total, but only those with a star on their receipt are eligible to win, we need to subtract the number of customers without a star from the total: 125 - 100 = 25.
- Determine how many of the eligible customers actually won. This information is not given in the problem, so we don't know the exact number. However, we can assume that the promotion is fair and random, meaning that each eligible customer has an equal chance of winning regardless of how many others win or lose. Therefore, we can use the experimental probability formula:
experimental probability = number of favorable outcomes / number of total outcomes
where the favorable outcomes are the number of eligible customers who won, and the total outcomes are the number of eligible customers.
- Plug in the values we have:
experimental probability = number of eligible customers who won / number of eligible customers
We don't know the numerator, but we know it is less than or equal to the denominator, since it is possible that none of the eligible customers won. Therefore, the experimental probability is somewhere between 0 and 1, inclusive.
In summary, the experimental probability of winning a free gallon of milk based on the given information is between 0 and 1, but we cannot determine the exact value without more data on the outcomes.
To determine the experimental probability of winning a free gallon of milk, we need to calculate the ratio of customers who received a star on their receipts to the total number of customers.
Given that 100 out of 125 customers did not receive a star on their receipts, we can subtract this number from the total number of customers to find the number of customers who did receive a star on their receipts:
125 customers - 100 customers = 25 customers
So, out of the 125 customers, 25 customers received a star on their receipts. Therefore, the experimental probability of winning a free gallon of milk is:
25 customers / 125 customers = 1/5 = 0.2
The experimental probability of winning a free gallon of milk is 0.2, or 20%.