there is a box with 3 numbers: {1,2, 3}. You are allowed to draw 2 numbers from this box, and if the sum is odd, then you get 1 point. If it is even, you lose one point. With this in mind, Is it better to draw with or without replacement to maximize your probability of winning?

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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there is a box with 3 numbers: {1,2, 3}. You are allowed to draw 2 numbers from this box, and if the sum is odd, then you get 1 point. If it is even, you lose one point. With this in mind, Is it better to draw with or without replacement to maximize your probability of winning?

from the same question, also provide a generalized explanation/ formula if the box has { 1,2 ... n} numbers.

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