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QI/ If three balls are randomly drawn from a bowl containing 6 white and 5 black balls, what is the probability that one of the drawn balls is white and the other two black? Ans. (4/11)

QI/ If three balls are randomly drawn from a bowl containing 6 white and 5 black balls, what is the probability that one of the drawn balls is white and the other two black? Ans. (4/11)

A First Course in Probability (10th Edition)
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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L. 30 O O homewrok_condi... Engineering Statistics (Sheet No. 2) QI/ If three balls are randomly drawn from a bowl containing 6 white and 5 black balls, what is the probability that one of the drawn balls is white and the other two black? Ans. (4/11) Q2/ Suppose two identical and perfectly balanced coins are tossed once. • Find the conditional probability that both coins show a head given that the first shows a head? • Find the conditional probability that both are heads given that at least one of them is a head? Ans. (P(A BIA=1/2), P(ABIAB=1/3) Q3/ Consider a bridge that is supported by three cables. The failure of interest is the failure of only two cables out of three cables since it results in failure of the bridge. What is the number of combinations that can result in bridge failure? Ans. (C =3) Q4/ In an experiment to study the relationship of hypertension and smoking habits, the following data are collected for 180 individuals: Nonsmokers 21 Moderate Smokers Heavy Smokers 36 30 NH 48 26 19 Where H and NH in the table stand for Hypertension and Non-hypertension, respectively. If one of these individuals is selected at random, find the probability that the person is: • Experiencing hypertension, given that the person is a heavy smoker; A nonsmoker, given that the person is experiencing no hypertension, 43 Engineering Statistics Ans. (P(A/B)=30149, P(CIA)=48/93) Q5/ An urn contains 10 white, 5 yellow, and 10 black marbles. A marble is chosen random from the urn, and it is noted that it is not one of the black marbles. What is the probability that it is yellow? Ans. (P(Y/B)=113) Q6/ A random sample of 200 adults are classified below by sex and their level of education attained. Education Elementary Secondary College Male 38 28 22 Female 45 50 17 If a person is picked at random from this group, find the probability that: the person is a male, given that the person has a secondary education; the person does not have a college degree, given that the person is a female. Ans. (P(M/S)=28/78; P(C/M)=95;112) II >
Transcribed Image Text:L. 30 O O homewrok_condi... Engineering Statistics (Sheet No. 2) QI/ If three balls are randomly drawn from a bowl containing 6 white and 5 black balls, what is the probability that one of the drawn balls is white and the other two black? Ans. (4/11) Q2/ Suppose two identical and perfectly balanced coins are tossed once. • Find the conditional probability that both coins show a head given that the first shows a head? • Find the conditional probability that both are heads given that at least one of them is a head? Ans. (P(A BIA=1/2), P(ABIAB=1/3) Q3/ Consider a bridge that is supported by three cables. The failure of interest is the failure of only two cables out of three cables since it results in failure of the bridge. What is the number of combinations that can result in bridge failure? Ans. (C =3) Q4/ In an experiment to study the relationship of hypertension and smoking habits, the following data are collected for 180 individuals: Nonsmokers 21 Moderate Smokers Heavy Smokers 36 30 NH 48 26 19 Where H and NH in the table stand for Hypertension and Non-hypertension, respectively. If one of these individuals is selected at random, find the probability that the person is: • Experiencing hypertension, given that the person is a heavy smoker; A nonsmoker, given that the person is experiencing no hypertension, 43 Engineering Statistics Ans. (P(A/B)=30149, P(CIA)=48/93) Q5/ An urn contains 10 white, 5 yellow, and 10 black marbles. A marble is chosen random from the urn, and it is noted that it is not one of the black marbles. What is the probability that it is yellow? Ans. (P(Y/B)=113) Q6/ A random sample of 200 adults are classified below by sex and their level of education attained. Education Elementary Secondary College Male 38 28 22 Female 45 50 17 If a person is picked at random from this group, find the probability that: the person is a male, given that the person has a secondary education; the person does not have a college degree, given that the person is a female. Ans. (P(M/S)=28/78; P(C/M)=95;112) II >
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