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.\nwhat is the probability that a randomly selected ice cream was vanilla given that the ice cream was ordered on a saturday?\nsimplify 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.\nwhat is the probability that a randomly selected ice cream was vanilla given that the ice cream was ordered on a saturday?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate total ice - creams on Saturday

Add the number of ice - creams of each flavor on Saturday: (8 + 6+7=21).

Step2: Find the number of vanilla ice - creams on Saturday

From the table, the number of vanilla ice - creams on Saturday is (6).

Step3: Use the conditional probability formula

The formula for conditional probability (P(A|B)=\frac{n(A\cap B)}{n(B)}). Here, event (A) is "vanilla ice - cream" and event (B) is "ice - cream ordered on Saturday". So (P(\text{vanilla}|\text{Saturday})=\frac{\text{Number of vanilla ice - creams on Saturday}}{\text{Total number of ice - creams on Saturday}}=\frac{6}{21}).

Step4: Simplify the fraction

Divide numerator and denominator by (3): (\frac{6\div3}{21\div3}=\frac{2}{7}).

Answer:

(\frac{2}{7})