find the probability that a drink is a coffee, given it is a small.\n| |large|small|total|\n|--|--|--|--|\n|c…

find the probability that a drink is a coffee, given it is a small.\n| |large|small|total|\n|--|--|--|--|\n|coffee|8|7|15|\n|tea|5|13|18|\n|total|13|20|33|\nfirst, find the probability of a drink being a small coffee.\np(coffee | small) = \\frac{p(small and coffee)}{p(small)}\np(small and coffee) = \\frac{?}{33}

find the probability that a drink is a coffee, given it is a small.\n| |large|small|total|\n|--|--|--|--|\n|coffee|8|7|15|\n|tea|5|13|18|\n|total|13|20|33|\nfirst, find the probability of a drink being a small coffee.\np(coffee | small) = \\frac{p(small and coffee)}{p(small)}\np(small and coffee) = \\frac{?}{33}

Answer

Explanation:

Step1: Identify number of small - coffees

The number of small - coffees is 7.

Step2: Calculate probability of small and coffee

The total number of drinks is 33. The probability of a drink being a small and coffee is the number of small - coffees divided by the total number of drinks. So $P(\text{small and coffee})=\frac{7}{33}$.

Answer:

$\frac{7}{33}$