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. what is the probability that a randomly selected cup contains a star - shaped straw given that the cup contains orange juice? simplify any fractions.
Answer
Explanation:
Step1: Identify relevant values from the table
Orange juice cups with star-shaped straw: 4
Total orange juice cups: 2 + 4 = 6
Step2: Apply conditional probability formula
$P(\text{star-shaped straw} | \text{orange juice}) = \frac{\text{star-shaped straw and orange juice}}{\text{total orange juice cups}}$
$= \frac{4}{6}$
Step3: Simplify the fraction
$\frac{4}{6} = \frac{2}{3}$
Answer:
$\frac{2}{3}$