Example 3-70. (a) 'n' different objects 1, 2, ..., n are distributed at random in n placesmarked 1, 2,••./n, Find the probability that none of the objects occupies the place..corresponding to its number.

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Answered: Example 3-70. (a) 'n' different objects…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Q1: A random experiment consists of drawn integer numbers from a sample space S = {1,2,3,..., 20). The events resulted from the random experiment consist of the following events; A = {1,2,3,4,5,6,7} B = {1,6,7,8,9,10} Find the probability of the following events; P(A), P(B), and P(An B)
12 1. A uniform die is thrown at random. Find the probability that the number on it is: (i) 5, (ii) greater than 4, (th any one of the faces 1, 2, 3, 4, 5, and 6, the exhaustive number of (iii) even.
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11. The probability that Adam goes to play basketball on any day is 3/3.3 5 a day when he plays basketball, the probability that Adam has burgers 3 is On the day he does not play basketball, the probability he has 8 burgers 3 11 (a) Find probability that Adam has burgers on any day. (b) Adam has burgers on that day. What is the probability he plays basketball? On (c) Determine whether the events play and does not play basketball mutually exclusive. (d) Determine whether the events play basketball and has burgers independent.
Emily is having a birthday party with 7 guests (not including herself) a) The kids (including the host Emily) line up in alphabetical order. Emily’s mother comes with a bucket that has cardboard cut-out number in it; it contains exactly one copy of each of the 10 numbers 0 to 9. The children line up, and each child picks a cardboard cut-out randomly and holds it up above his or her head. What is the probability that the number that is formed is 1,234,567? What is the probability that the number that is formed is greater than or equal to 4,000,000? b) 3 of the guests, Joe, Ray and Millie have brown hair; all other kids have blond hair. For a particular game, Emily’s father selects a team of 3 kids with brown hair and 2 kids with blond hair. In how many different ways can he put together this team?
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Q.7 A single die is thrown twice. What is the probability that the sum is neither 8 nor 9? le 1/0 (h) 5/36
A fruit bowl contains 3 apples, 5 oranges and 2 peaches. If a piece of fruit is selected at random from the bowl, what is the probability that the fruit is?

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Example 3-70. (a) 'n' different objects 1, 2, marked 1, 2, corresponding to its number. ..., n are distributed at random in n places ** n, Find the probability that none of the objects occupies the place ...