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

ANSWER:

20%

STEP-BY-STEP EXPLANATION:

In this case, the probability is calculated as follows:

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

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:

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

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