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|2|4|\n|yellow|8|4|\nwhat is the probability that a randomly selected cup is green and medium?\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|2|4|\n|yellow|8|4|\nwhat is the probability that a randomly selected cup is green and medium?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate total number of teacups

$2 + 4+8 + 4=18$

Step2: Determine number of green - medium teacups

The number of green and medium teacups is 4.

Step3: Calculate probability

The probability $P$ of selecting a green and medium teacup is the number of green - medium teacups divided by the total number of teacups. So $P=\frac{4}{18}=\frac{2}{9}$

Answer:

$\frac{2}{9}$