Question

At a coffee shop, the first 100 customers'

orders were as follows.
Hot
Cold
Small Medium Large
5
48
22
8
12
5
Find the probability a customer ordered a
medium, given that they ordered a hot drink.
P(B|A) =
P(medium | hot) = [? ]
P(ANB)
P(A)

Answer 1

To find the probability of a customer ordering a medium given that they ordered a hot drink, we can use conditional probability by dividing the number of customers who ordered a hot medium drink by the number of customers who ordered a hot drink. The probability is approximately 0.0962.

Step-by-step explanation:

To find the probability of a customer ordering a medium given that they ordered a hot drink, we need to use conditional probability.

P(medium | hot) = P(medium and hot) / P(hot)

From the given data, we can see that out of the first 100 customers, there were 5 who ordered a hot medium drink. So, P(medium and hot) = 5/100 = 0.05.

The number of customers who ordered a hot drink is 5 + 22 + 8 + 12 + 5 = 52. So, P(hot) = 52/100 = 0.52.

Now we can substitute the values into the formula: P(medium | hot) = 0.05 / 0.52 = 0.0962 (rounded to four decimal places).