At local ice cream store, you can purchase one, two, or three scoops of ice cream. You also have a choice of either a sugar cone or a waffle cone. Based on the average daily sales from the past week, 60% of the customers purchase a waffle cone, 40% of the customers purchased two scoops of ice cream, and 20% purchased both. Based on the average daily sales from last week, what is the probability a randomly selected customer purchases two scoops of ice cream if we know the customer purchased a waffle cone?

Question

Mathematics

Champ

11 May, 04:10

At local ice cream store, you can purchase one, two, or three scoops of ice cream. You also have a choice of either a sugar cone or a waffle cone. Based on the average daily sales from the past week, 60% of the customers purchase a waffle cone, 40% of the customers purchased two scoops of ice cream, and 20% purchased both. Based on the average daily sales from last week, what is the probability a randomly selected customer purchases two scoops of ice cream if we know the customer purchased a waffle cone?

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Carrot · Answer 1

33.3% probability a randomly selected customer purchases two scoops of ice cream if we know the customer purchased a waffle cone.

Step-by-step explanation:

In this problem, we have these following probabilities:

A 60% probability that a customer purchases a waffle cone.

A 20% probability a person person purchases both a waffle cone and two scoops of ice cream.

Based on the average daily sales from last week, what is the probability a randomly selected customer purchases two scoops of ice cream if we know the customer purchased a waffle cone?

This is 0.2/0.6 = 0.333 = 33.3% probability a randomly selected customer purchases two scoops of ice cream if we know the customer purchased a waffle cone.