(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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Charlie draws five cards out of a deck of 52. If he gets at least three of one suit,he discards the cards not of that suit and then draws until he again has five cards. For example, if he gets three hearts, one club, and one spade, he throws the two non hearts away and draws two more. What is the probability he will end up with five cards of the same suit?
Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always lands on either 2, 4, or 6, with equal probability, while the other trick die always lands on 1, 3, or 5, with equal probability. 9. You draw one die at random and roll it. What is the probability that you drew the fair die, given that the roll is at least 4?
3. A retailer sells two brands of batteries that experience indicates are equal in demand. If he stocks two of each brand (which means he has 4 batteries in his store), what is the probability that a customer seeking to purchase two batteries, purchases the same brand? 1/3 2/3 01/2 1/4
2. A large population of crickets contains 30% who can chirp. Suppose 4 crickets are selected at random from this population, find the probability that (a) all can chirp, (b) at least one can chirp, and (c) exactly 2 can chirp.
1. A city has 9 coffee shops: 3 Starbuck's, 2 Caribou Coffees, and 4 Crazy Mocho Coffees. If a person selects one shop at random to buy a cup of coffee, find the probability that it is either a Starbuck's or Crazy Mocho Coffees.
In a shipment of 18 trucks to a local truck dealer, there are four trucks that don't have air conditioning. Assume that you select four trucks at random. What is the probability that two or fewer of the four don't have air conditioning?
P3. Four identical urns each contain three balls. In urn I, all 3 balls are black, in urn II, 2 black and 1 is white, in urn III, 1 is black and 2 are white, and in urn IV, all 3 are white. One of the urns is picked at random, and a ball is chosen from that urn, which turns out to be white. (a) What is the probability that all 3 balls in the selected urn are white? (b) A second ball is picked from the selected urn and is also found to be white. Now, what is the probability that all 3 balls in the selected are white?
two hundred people apply for two jobs. 60 of the applicants Are women. If two persons are selected at random, what is the probability that only one is a man
Urn A has 3 white and 9 red balls. Urn B has 15 white and 13 red balls. We flip a fair coin. If the outcome is heads, then a ball from urn A is selected, whereas if the outcome is tails, then a ball from urn B is selected. Suppose that a white ball is selected. What is the probability that the coin landed heads? 0.30
4. Teddy lives life on the edge and gets dressed randomly every morning. This morning, he is randomly choosing a pair of shoes, a pair of pants, and a shirt from his closet which contains the following colors and corresponding quantities: Shoes: black (2) and brown (3) Pants: black (3) and brown (1) Shirt: white (2), brown (4) and black (6) What is the probability that Teddy randomly chooses shoes, pants and a shirt of the same color? A. 1/5 В. 2/5 С. 120 A B C D D. 3/20
4-4: Urn 1 contains 5 red balls and 3 black balls. Urn 2 contains 3 red balls and 1 black ball. Urn 3 contains 4 red balls and 2 black balls. If an urn is selected at random and a ball is drawn, find the probability it will be red.
3. If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three students randomly selected for a group are all freshmen?

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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?