1- Let a coin and a die be tossed; let the sample space S consists of the twelveelements:S-{HI, H2, HЗ, Н4, H5, Н6, Т1, Т2, ТЗ, Т4, T5, Т6;(i) Express explicitly the following events:A={heads and an even number appear}B={a prime number appears}C={tails and an odd number appear}(ii) Express explicitly the event that:(а) А or B oссursA or BSelect one:О а. (Н2,НЗ,H5.T2,Т3,T5.Н4, Нб}O b. noneO c. H2

Given : If a coin and a die are tossed then sample space is given by; S = { H1, H2, H2, H4, H5, H6 ,…

Answered: 1- Let a coin and a die be tossed; let…

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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42- When a coin is tossed twice what is the sample space? a. S = {HH},( HT), (TH),(TT) b. None c. S = {HH},( TT), (TH),(TT) d. S = {HH},( HH), (TH),(TT)
Consider a die with only four sides, marked one, two, three, and four. (a) Write out a sample space for rolling a pair of these dice. Die Two 1 2 3 1, 1) (回v,回v)(回v国)(回レ回。 1 2. 2 Die One (3.2) (1 - , 1 - ) (4 v 2- ) (1- 3 - ) (4- , 4 -) 3 4 Assuming equally likely outcomes, find the probability that the sum of the dice is the given number. (Enter the probabilities as fractions.) (b) P(two) 1/240 X P(three) 1/60 X (c) P(four) 3/16 (d) (e) P(five) 1/15 X P(six) (f) 1/60 X (g) P(seven) 3/80 X
1- Let a coin and a die be tossed; let the sample space S consists of the twelve elements: S-{HI, H2, HЗ, Н4, H5, Н6, Т1, Т2, ТЗ, Т4, T5, Т6; (i) Express explicitly the following events: A={heads and an even number appear} B={a prime number appears} C={tails and an odd number appear} (ii) Express explicitly the event that: (а) А or B oссurs A or B Select one: О а. (Н2,НЗ,H5.T2,Т3,T5.Н4, Нб} O b. none O c. H2
1 A telephone sales representative makes successive calls to potential customers, and the result of each call is recorded as a sale (S) or a no sale (N). Calls are continued until either two sales are made (these calls need not be consecutive), two consecutive calls result in no sale , or a total of 4 calls is made. What is the sample space for this situation. Sample Space = { }
Each student should select three different states from different regions in Oman about the casesof infection and recovering taken from the Supreme Committee about the spread of Coronavirus(COVID-19) in a particular day. Then obtained yourresult in the following table: states infection recovery (A) muscat 120 15 (B) bid bid 10 3 (C) salalah 4 5 Based on the result, find the probability that the selected person is:a. from state B or he is recovered.b. recovered given that he is from state C. c. from state B given that he is infected. d. infected or from state A.
The prerequisite for Chem-201 at a college is Chem-101 or instructor approval. Suppose 80% of the students in Chem-201 had taken Chem-101, and of them, 69% passed Chem-201. Furthermore, of the students who passed Chem-201, 76.2% had taken Chem-101 beforehand. A student in Chem-201 is randomly chosen. a) Find the probability that the student passed Chem-201. b) Find the probability that the student enrolled in Chem-201 with instructor approval, given that the student failed the course. ..... a) The probability that the student passed Chem-201 is (Do not round until the final answer. Then round to four decimal places as needed.) b) The probability that the student enrolled in Chem-201 with instructor approval, given that the student failed the course is (Do not round until the final answer. Then round to four decimal places as needed.)
Find the number of ways in which all twelve letters of the word MISSPELLINGS can be arranged if both the I's are placed at the beginning and both the L's are placed at the end, between any two S's, there must be at least 4 other letters. A group of 8 letters is randomly selected from the letters of the word MISSPELLINGS. Find the probability that (iii) all 8 letters are distinct, (iv) the 2 I's are next to each other, the 2 L's are next to each other, and the 3 S's are next to each other.
1- Let a coin and a die be tossed; let the sample space S consists of the twelve elements: S-{HI, H2, НЗ, Н4, H5, Н6, ТІ, Т2, ТЗ, Т4, Т5, Т6; (i) Express explicitly the following events: A={heads and an even number appear} B={a prime number appears} C={tails and an odd number appear} (ii) Express explicitly the event that: (a A or B occurs (b) В and C oсенs (с) Only B oссurs. Only B Select one: О а. (НЗ, Н5, Т2} О b. (НЗ, Н5, T2, ТЗ, Т5} О с. (Н2, НЗ, H5, Т2} O d. none e. (Н2, НЗ, Н5, T2, Т3, T5}
5. Of the 15-letter passwords that include • 9 letters, chosen from A to Z, without repeats, and • 6 numbers, chosen from 1 to 9, allowing repeats, I select one at random. Determine the following probabilities: (a) Prob (my word begins with A and ends with Z) (b) Prob (my word includes at least five even numbers) (c) Prob (my word begins with a vowel and ends with an even digit) Leave your probabilities in terms of m", Pm, C, and factorials.
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. After identifying the sample space for a couple having four children, find the probability of getting fourfour girlsgirls and nono boysboys. Identify the sample space for a couple having four children. {nothing} (Use a comma to separate answers as needed.) Find the probability of getting fourfour girlsgirls and nono boysboys.
a) Seven puppies were born in a litter, and it is determined whether each puppy is male or female. How many outcomes exist in the above experiment? b) Simple random sampling uses a sample of size n from a population of size N to obtain data that can be used to make inferences about the characteristics of a population. Suppose that, from a population of 25 bank accounts, we want to take a random sample of six accounts in order to learn about the population. *How many different random samples of six accounts are possible?

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