Question

A candy shop tracks the orders for different flavors and styles of chocolate to stock the best inventory. The two-way frequency table summarizes the orders for the last week.


Plain Almonds Crunch Mint
Dark Chocolate 22 11 24 33
Milk Chocolate 23 14 46 17
White Chocolate 30 20 15 10
In the context of the data, interpret the empirical conditional probability of 14 over 45.
The probability that a customer ordered milk chocolate
The probability that a customer ordered milk chocolate with almonds
The probability that a customer ordered milk chocolate, given that they ordered chocolate with almonds
The probability that a customer ordered chocolate with almonds, given that they ordered milk chocolate

Answer 1

The empirical conditional probability of 14 over 45 can be interpreted as the probability that a customer ordered milk chocolate with almonds, given that they ordered any type of chocolate. So, the answer is (c) - the probability that a customer ordered milk chocolate, given that they ordered chocolate with almonds.

To calculate this probability, we need to find the number of customers who ordered chocolate with almonds and milk chocolate and divide it by the total number of customers who ordered any type of chocolate with almonds. Looking at the table, we can see that 14 customers ordered milk chocolate with almonds, and a total of 45 customers ordered any type of chocolate with almonds.

Therefore, the empirical conditional probability of 14 over 45 is 14/45, which is approximately 0.31 or 31%. This means that approximately 31% of customers who ordered chocolate with almonds chose milk chocolate.

Answer 2

So, which one would it be? You got me a little confused :']

Answer 3

So, D?