Suppose that in a deck of 20 cards, each card has one of the number 1, 2, 3, 4, 5 with four cards of eachnumber. Ten cards are chosen from the deck at random.(i)If the cards are drawn with replacement, what is the probability that each of the numbers1, 2, 3, 4, 5 will appear exactly twice?(ii)If the cards are drawn without replacement, what is the probability that each of the numbers1, 2, 3, 4, 5 will appear exactly twice?If the cards are drawn without replacement, what is the probability that the numbers X₁, X², X onthe first three cards drawn satisfy X₁ < x₂ < X₂ ?

(i) We are given that we have 20 cards in a deck having 4 cards of each number 1,2,3,4,5. Ten card…

Answered: If the cards are drawn with…

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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Suppose that a number is randomly chosen from the interval (-6,6). What is the probability that |x+4|<1? ROUND OFF your answer in DECIMAL FORM (4 decimal places)
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An analyst is presented with lists of 4 stocks and 5 bonds. He is asked to predict, in order, the 2 stocks that will yield the highest return over the next year and the 2 bonds that will have the highest return over the next year. Suppose that these predictions are made randomly and independently of each other. What is the probability that the analyst will be successful in at least 1 of the 2 tasks?
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There are two bags A and B. Bag A contains n white balls and 2 black balls while bag B contains 2 white balls and n black balls. One of the two bags is selected at random and two balls are drawn from it without replacement. We know that if both the balls drawn are white balls, the probability of bag A being selected to draw the balls is . Find the value of n.
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A = {2, 3, 4, 5) B=(4, 5, 6, 7, 8) Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?

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