Alice has come to the Carnival and is playing the dart game one time. She gets three tosses. The game has 3 levels corresponding 1st toss, 2nd toss and 3rd toss. The probability she gets a bullseyeon the 1st toss is 0.25. The probability of a bullseye on the 2nd toss is 0.20. The probability of a bullseye on the 3rd toss is .15. The tosses are independent of one another.a.What is the probability That Alice gets no bullseyes?b.What is the probability that Alice gets 3 bullseyes?c.What is the probability that Alice gets at least one bullseye?d.What is the probability Alice gets bullseyes on the 1st and 3rd tosses?e.What is the probability Alice gets exactly two bullseyes?f.What is the probability that Alice gets a bullseye on either the 1st or 3rd toss?

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Answered: n the 1st toss is 0.25. The probability…

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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A guy is gambling the dealer makes 21. The cards showing on the table are: 10 & 9, 8 & 9, Q & 5, and Q & 8. The dealer’s hand shows a 6, 2, 2, 4, and 2. Assuming that these are the only cards out of a single deck, what is thethe probability that the dealer makes 21 with the next “hit”
Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6 white and 4 black balls. One ball is taken out of the first urn at random and and put it into the second urn, and then one ball was taken out of the second urn. (a) Find the probability that the removed ball is white. (b) It is known that the ball taken from the second urn was white. Find the probability that a white ball was transferred from the first urn to the second.
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 bag contains 11 Blue balls, 9 Red balls, and 10 Green balls. Two balls are going to be drawn from the bag (one at a time) and then returned to the bag before the next is drawn. Let event B = blue ball chosen, R = Red ball chosen, and G- Green ball chosen. What is the probability the first is blue and the second is red? What is P(B and then R)? Write an answer to 4 decimal places.
Debi sells eggs at a farmer's market. She sells the eggs by the dozen, and most of the eggs are large white eggs but she also has some small brown eggs. If there is one small brown egg in every 3 dozen eggs, and Debi sells 20 dozen eggs, what is the probability that an eg chosen at random from the eggs that she sells is a sma brown egg?
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Northwest Furniture Factory makes desks. Inspectors find that the probability that a desk has a structural defect is 0.03, the probability that it has a defect in finish is 0.07, and the probability of both kinds of defect is 0.02. A desk is randomly selected. Find the probability that a desk has structural defect, given that it has a defect in finish.
On a shelf there are 60 novels and 20 poetry books. Person Achooses a book at random off the shelf and leaves with it. Shortly after, Person Bchooses another book at random. Calculate:a. The probability that the book selected by Person B is a novel?b. If it is known that Person B chose a novel: what is the probability that thebook selected by Person A was a poetry book?
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

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