A letter is first chosen at random from theword SAMPLE, and then the next letter ischosen at random from the word SET. Thetwo letters chosen are recorded. A is theevent that the first letter chosen is a vowel,and B is the event that the second letterchosen is a vowel, and C is the event that thetwo letters chosen are the same. Find n(C'n(A U B)).Your answer

Answered: Image /qna-images/answer/fd0e57a0-e3ac-456d-ac37-a80e7f6101d3.jpg

Answered: A letter is first chosen at random from…

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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Suppose there are 10 candidates in an election. After the election, an ordered list is published of the top three candidates. How many possibilities are there for this list? Rihanna and Justin are queueing with 6 more people at Ground café. What is the probability that one will be in front of the other in the queue? Briefly explain your answer. A group of five people get on a bus at stop A. There are 10 stops after stop A. The five people choose which stop to get off at independently of each other and each person randomly chooses one of the 10 stops to get off. What is the probability that they are all going to get off the bus at different stops? Explain your answer.
A poker player holds a flush when all five cards in the hand belong to the same suit (clubs, diamonds, hearts, or spades). We will find the probability of a flush when five cards are drawn in succession from the top of the deck. Remember that a deck contains 52 cards, 13 of each suit, and that when the deck is well shuffled, each card drawn is equally likely to be any of those that remain in the deck. The probability of drawing five spades in succession from the top of the deck is the product of the five probabilities you have found. Why? The probability of a flush in spades is the product of the probabilities due to the general multiplication rule which applies for determining the probability of dependent events occurring simultaneously. the multiplication rule for independent events which applies for determining the probability of at least one or more dependent events occurring. the general multiplication rule which applies for determining the…
A box contains 5 black, 4 green, 5 yellow and 6 blue balls. A ball is selected at random, what is the probability that the selected ball is blue or green? O a. 9/20 O b. 1/2 O c. 3/4 O d. 11/20
Suppose that you close your eyes and select at random two candies from the bowl which contains 2 red and 3 yellow candies without replacement. Use counting rules to find the following probabilities. a. Probability that you will select one red and one yellow candy is b. Probability that you select two red candies is
Observe the question below and the two possible solutions. State which solution is correct and give a reason for your choice. For a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in the table. Black Silver WhiteKorea 33 34 35Japan 23 9 24America 16 25 34Germany 19 16 32 One car is selected at random from this group. Find the probability that the selected car is a black or white car manufactured in Korea. Solution 1 P (BUW) = P (B) + P (W) = 33/300 + 35/300 = 68/300 Solution 2 P (BUW) = P (B) + P (W) = 33/102 + 35/102 = 68/102
Of the cartons produced by a company, 10% have a puncture, 5% have a smashed corner, and 0.9% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner (Type an integer or a decimal. Do not round.)
Consider a family with 3 children. Assume the probability that one child is a boy is 0.5 and the probability that one child is a girl is also 0.5, and that the events "boy" and "girl" are independent.What is the probability that all 3 children are male? (Enter your answer as a fraction.)
Suppose that 30% of people have a dog, 17% of people have a cat, and 10% of people own both. What is the probability that someone owns a dog or a cat? The probability of a person having a dog or a cat is (Type an integer or a decimal.)

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