An ice cream parlor serves 10 flavors of ice cream. Carrie and Jimmy each randomly and independently choose 3 out of those 10 flavors. Use the method of indicators to find the expected number of flavors chosen by both Carrie and Jimmy and simplify your final answer**** ****Each person has to choose 3 different flavors (Vanilla- Vanilla-Chocolate is not ok) but their flavors are allowed to overlap (Chocolate-Vanilla-Strawberry for Carrie and Chocolate- Blueberry-Mint for Jimmy is ok). The order of flavors doesn’t matter.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An ice cream parlor serves 10 flavors of ice cream. Carrie and Jimmy each randomly and independently choose 3 out of those 10 flavors. Use the method of indicators to find the expected number of flavors chosen by both Carrie and Jimmy and simplify your final answer****

****Each person has to choose 3 different flavors (Vanilla- Vanilla-Chocolate is not ok) but their flavors are allowed to overlap (Chocolate-Vanilla-Strawberry for Carrie and Chocolate- Blueberry-Mint for Jimmy is ok). The order of flavors doesn’t matter.

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