Two marbles are drawn randomly one after the other without replacement from a jar that contains 3 red marbles, 7 white marbles, and 2 yellow marbles. Find the probability of thefollowing events.(a) A red marble is drawn first followed by a white marble.The probability is : 0.159(b) A white marble is drawn first followed by a white marble.The probability is : 0.318(c) A yellow marble is not drawn at all.The probability is :|

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Answered: Two marbles are drawn randomly one…

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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Ali has taken two books with him for holiday. The probability of liking the first book is 0.5, the probability of liking the second book is 0.4, the probability of liking both books is 0.3. What is the probability that Ali does not like both books?
A pharmacist receives a shipment of 20 bottles of a drug and has 4 of the bottles tested. If 4 of the 20 bottles are contaminated, what is the probability that more than 1 of the tested bottles is contaminated? Express your answer as a fraction or a decimal number rounded to four decimal places.
Suppose a fair die is rolled 15 times. (a) What is the probability p that a 3 will occur any given time the die is rolled? (Enter your probability as a fraction.) p = (b) What is the probability q that a 3 will not occur any given time the die is rolled? (Enter your probability as a fraction.) q = (c) What is n for this experiment? n = (d) What is the probability that a 3 will occur 4 times in the 15 rolls? (Round your answer to three decimal places.)
Suppose a fair die is rolled 18 times. (a) What is the probability p that a 2 will occur any given time the die is rolled? (Enter your probability as a fraction.) p = (b) What is the probability q that a 2 will not occur any given time the die is rolled? (Enter your probability as a fraction.) q = (c) What is n for this experiment? n = (d) What is the probability that a 2 will occur 7 times in the 18 rolls? (Round your answer to three decimal places.)
An urn contains 3 white balls and 7 red balls. A second urn contains 8 white balls and 2 red balls. An urn is selected, and a ball is randomly drawn from the selected urn. The probability of selecting the first urn is 0.8. If the ball is white, find the probability that the second urn was selected. (Round your answer to three decimal places.)
The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability of their simultaneous occurrance is 7/50. Find the probability that neither A nor B occurs.
A football team consists of 19 each freshmen and sophomores, 15 juniors, and 18 seniors. Four players are selected at random to serve as captains. Find the probability of the following. Enter your answers as fractions or as decimals rounded to 4 decimal places. (a)All 4 are seniors. P(4 seniors)=
A box has 8 blue and 6 green jelly beans. A bag has 3 blue and 5 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.)
A box has 6 blue and 4 green jelly beans. A bag has 9 blue and 2 green jelly beans. A jelly bean is selected at random from the box and placed in the bag. Then a jelly bean is selected at random from the bag. If a green jelly bean is selected from the bag, what is the probability that the transferred jelly bean was green? (Round your answer to three decimal places.)
A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)
There are red, yellow and green candies in a bag. What is the probability of selecting a blue one? 1/4 4/3 O 1/3

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