Question

At a coffee shop, the first 100 customers'orders were as follows.SmallMedium LargeHot54822Cold8125What is the probability that a customer ordereda large given that he or she ordered a colddrink?Rounded to th

Answer 1

20%

Explanation:

In this case, the probability is calculated as follows:

`P(A\text{/}B)=(P(A\cap B))/(P(B))`

Where A is the event that it is a Large drink and B is the event that it is a cold drink.

We calculate in each case, knowing that the total number of customers is equal to 100 and the favorable chaos we identify in the table, therefore:

`\begin{gathered} P(A\cap B)=(5)/(100)=(1)/(20) \\ \\ P(B)=(8+12+5)/(100)=(25)/(100)=(1)/(4) \\ \\ P(A\text{/}B)=((1)/(20))/((1)/(4))=(4)/(20)=(1)/(5)=0.2=20\% \end{gathered}`

Therefore, the percent of customers ordered large given that he or she order a cold drink is 20%