a birthday party caterer counted the number of juice cups on the table. the cups contained different…

a birthday party caterer counted the number of juice cups on the table. the cups contained different flavored juices and different shaped straws.\n| |heart - shaped straw|star - shaped straw|\n|--|--|--|\n|orange juice|5|4|\n|grape juice|6|3|\nwhat is the probability that a randomly selected cup contains orange juice and contains a star - shaped straw?\nsimplify any fractions.

a birthday party caterer counted the number of juice cups on the table. the cups contained different flavored juices and different shaped straws.\n| |heart - shaped straw|star - shaped straw|\n|--|--|--|\n|orange juice|5|4|\n|grape juice|6|3|\nwhat is the probability that a randomly selected cup contains orange juice and contains a star - shaped straw?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate total number of cups

Add all the values in the table: $5 + 4+6 + 3=18$.

Step2: Identify favorable outcomes

The number of cups with orange - juice and star - shaped straw is 4.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{4}{18}=\frac{2}{9}$.

Answer:

$\frac{2}{9}$