over a weekend, finn counted the number of single scoop ice creams ordered at his store. he tracked the…

over a weekend, finn counted the number of single scoop ice creams ordered at his store. he tracked the flavors and the day on which it was ordered. what is the probability that a randomly selected ice cream was vanilla given that the ice cream was ordered on a saturday? simplify any fractions.

over a weekend, finn counted the number of single scoop ice creams ordered at his store. he tracked the flavors and the day on which it was ordered. what is the probability that a randomly selected ice cream was vanilla given that the ice cream was ordered on a saturday? simplify any fractions.

Answer

Explanation:

Step1: Calculate total ice - creams on Saturday

Add up the number of ice - creams of each flavor ordered on Saturday. $8 + 6+7=21$.

Step2: Calculate number of vanilla ice - creams on Saturday

The number of vanilla ice - creams ordered on Saturday is 6.

Step3: Calculate the conditional probability

The formula for conditional probability $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In this case, the probability that an ice - cream is vanilla given it was ordered on Saturday is the number of vanilla ice - creams on Saturday divided by the total number of ice - creams on Saturday. So the probability is $\frac{6}{21}=\frac{2}{7}$.

Answer:

$\frac{2}{7}$