Consider the following set Ω= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Using the definition probability for finite and equiprobable sample space and combinatorics. Calculate: (a) Consider drawing 3 elements with replacement, what is the probability of these 3 elements drawn to be the same? (b) Consider drawing 3 elements without replacement, what is the probability that these are even numbers? c) Suppose we are going to remove 10 elements with replacement, what is the probability that 5 of these elements are even numbers?

Consider the following set Ω= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Using the definition probability for finite and equiprobable sample space and combinatorics. Calculate: (a) Consider drawing 3 elements with replacement, what is the probability of these 3 elements drawn to be the same? (b) Consider drawing 3 elements without replacement, what is the probability that these are even numbers? c) Suppose we are going to remove 10 elements with replacement, what is the probability that 5 of these elements are even numbers?

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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Question

Consider the following set Ω= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Using the definition probability for finite and equiprobable sample space and combinatorics. Calculate:

(a) Consider drawing 3 elements with replacement, what is the probability of these 3 elements drawn to be the same?

(b) Consider drawing 3 elements without replacement, what is the probability that these are even numbers?

c) Suppose we are going to remove 10 elements with replacement, what is the probability that 5 of these elements are even numbers?

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