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|5|6|\n|pineapple juice|4|7|\nwhat is the probability that a randomly selected cup contains grape juice given that the cup contains a heart - 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|5|6|\n|pineapple juice|4|7|\nwhat is the probability that a randomly selected cup contains grape juice given that the cup contains a heart - shaped straw?\nsimplify any fractions.

Answer

Answer:

$\frac{5}{14}$

Explanation:

Step1: Find number of heart - shaped straw cups

$5 + 5+4=14$

Step2: Find number of grape juice with heart - shaped straw cups

$5$

Step3: Calculate conditional probability

$P=\frac{5}{14}$