a department store has some colorful teacups on clearance. an employee noted the numbers and kinds of…

a department store has some colorful teacups on clearance. an employee noted the numbers and kinds of teacups that are left.\n| |small|medium|\n|--|--|--|\n|green|8|4|\n|yellow|3|3|\nwhat is the probability that a randomly selected cup is small given that the cup is green?\nsimplify any fractions.

a department store has some colorful teacups on clearance. an employee noted the numbers and kinds of teacups that are left.\n| |small|medium|\n|--|--|--|\n|green|8|4|\n|yellow|3|3|\nwhat is the probability that a randomly selected cup is small given that the cup is green?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate total green cups

The number of green small cups is 8 and green medium - sized cups is 4. So the total number of green cups is $8 + 4=12$.

Step2: Calculate the probability

The probability that a randomly - selected cup is small given that it is green is the number of small green cups divided by the total number of green cups. So the probability $P=\frac{8}{12}=\frac{2}{3}$.

Answer:

$\frac{2}{3}$