The probability that a customer ordered a medium given that he or she ordered a cold drink is 48%.
What is probability?
The probability of any event A is the chance of the occurrence of that event.
It is determined as the ratio of the number of favorable outcomes to event A (n), to the total number of possible outcomes (S).
Hence, the formula for the probability of event A is given as:
P(A) = n/S.
How to solve the question?
In the question, we are given a table that represents the orders of the first 100 customers.
We are asked to find the probability that a customer ordered a medium given that he or she ordered a cold drink.
We assume the event of ordering a medium given already ordered a cold drink be A.
The number of outcomes favorable to event A (n) = 12 {The medium number of orders in the cold option}.
The total number of possible outcomes (S) = 25 {The total cold orders = 8 + 12 + 5 = 25}.
Therefore, the probability of event A is:
P(A) = n/S = 12/25.
To express this as a percentage, we multiply by 100.
Therefore, P(A) = 12/25 * 100% = 48%.
Therefore, the probability that a customer ordered a medium given that he or she ordered a cold drink is 48%.
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