Question

At a coffee shop, the first 100 customers' orders were as follows. Small Medium Large Hot 48 22 Cold 8 12 on What is the probability that a customer ordered a cold drink given that he or she ordered a large? Rounded to the nearest percent, [? ]%

Answer 1

From the table the probability of large is given by:

`P(L)=(27)/(100)`

The probability of cold drink is given from the table as:

`P(C)=(25)/(100)`

The probability of a cold large drink is given from table as:

`P(C\cap L)=(5)/(100)`

Hence the probability that a customer ordered a cold drink given that the drink was a large is given by:

`\begin{gathered} P(C|L)=(P(C\cap L))/(P(L)) \\ P(C|L)=((5)/(100))/((27)/(100)) \\ P(C|L)=(5)/(27)=0.1851851852 \end{gathered}`

Hence the probability is 18.52%.