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?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 4E: Let E and F be events in a sample space S. (a) The probability of E and F occurring is P(EF)=...
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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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