(c) You like exactly one of them.1.3-7 An urn contains four colored balls: two orange and two blue. Two balls are selectedat random without replacement, and you are told that at least one of them is orange.What is the probability that the other ball is also orange?1.3-8 A small grocery store had 10 cartons of milk 2 of which

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Answered: 1.3-7 An urn contains four colored…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A city has two daily newspapers, A and B. A survey of 100 residents of the city shows that 35 people subscribe to A, 60 subscribe to B and 20 subscribe to both. Find the probability that a resident chosen is subscribing to A only?
EXAMPLE 5 If 3 balls are "randomly drawn" from a bowl containing 6 white and 5 black balls, what is the probability that one of the balls is white and the other two black?
If a sack contains eight blue marbles and ten red marbles, and you randomly select four, what is the probability that exactly two of your four marbles are blue?
Urn A has five mauve marbles, seven burnt sienna marbles, and three puce marbles. Urn B has seven mauve marbles, two burnt sienna marbles, and three puce marbles. First, a random marble is transferred from Urn A to Urn B. Then two marbles are drawn from Urn B simultaneously. What is the probability that the two marbles are the same color?
b. A bag contains 33 blueblue marbles, 77 redred marbles, and 66 greengreen marbles. If two different marbles are drawn from the bag , what is the probability of drawing first a blueblue marble and then a greengreen marble?
A bag contains four red marbles and ten white marbles. If a sample of three marbles contains at least one white marble, what is the probability that all the marbles in the sample are white?
Can someone please help me to solve the following question.
A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of the juniors are male, and exactly 5 of the sophomores are female. If two students are randomly selected from this class, what is the probability that the pair consists of a female junior and a male sophomore?
A secondary school is offering two extracurricular classes, one in Photography and theother in Swimming. These classes are open to all of the 250 students in the school.Suppose there are 48 students in the Photography class, 34 in the Swimming class, and12 who are in both classes. If a student is randomly chosen, what is the probability thatthis student is not enrolled in any one of these classes?
1.Mayank plays exactly one sport everyday. It can be football or basketball or chess. Forhim, the probability of playing chess on a random day is twice as that of playing footballand one third of the probability of playing basketball. What is the probability that in thenext week, he will play basketball in 3 days, chess in 2 days and football in the remainingdays?

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1.3-7 An urn contains four colored balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange. What is the probability that the other ball is also orange?