12-30. The probability that a contractor will get a plumbing contract is 2/3, and theprobability that he will not get an electric contract is 5/9. If the probability of getting at least one controis 4/5, what is the probability that he will get both the contracts?

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Answered: 12:30. The probability that a…

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 BSCE student is taking Calculus 2 and Engineering Data Analysis courses. The probability that he will pass Calculus 2 and Engineering Data Analysis is 2/3and 4/9, respectively. What is the probability that he will pass both courses if the probability of passing at least one course is 4/5.
Solve Question 1 and show work. Please and thank you.
A poker player has either good luck or bad luck each time she plays poker. She notices that if she has good luck one time, then she has good luck the next time with probability 0.2 and if she has bad luck one time, then she has good luck the next time with probability 0.4. What fraction of the time in the long run does the poker player have good luck?
The probability that the first record of a singing group will be a hit is 0.48. If their first record is a hit, so are all their subsequent records. If their first record is not a hit, the probability of their second and all subsequent ones being hits is 0.24. If the first two records are not hits, the probability that the third is a hit is 0.12. Find the probability that a group has exactly 2 hits in their first three records. P(exactly 2 hits in first three records) = (Simplify your answer. Type an integer or a decimal. Round to 6 places.)
John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077
A poker player has either good luck or bad luck each time she plays poker. She notices that if she has good luck one time, then she has good luck the next time with probability 0.6 and if she has bad luck one time, then she has good luck the next time with probability 0.55. What fraction of the time in the long run does the poker player have good luck?
Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been fired. Find the probability that (i) at least 2 hit the target. (ii) Exactly two hit the target.
Please provide steps for how you got the solution to the problem provided below. A machine is used to produce one of each of two types of product (A and B) on alternating days, i.e., if A is produced today then B will be produced tomorrow and vice versa. Each day, there is a probability that the machine malfunctions. Malfunction probability after a day of operation is 0.03 when producing A and 0.07 when producing B. Once the machine malfunctions, it is no longer operable and will not be replaced until sometime in the future (beyond modeling horizon). Model the system as a Markov chain (give transition matrix on your paper). Suppose that on Monday product A was produced. Find the probability that the machine is still operable by the morning of Thursday. Your model should have a state ”malfunction”, which cannot transition to any other state other than itself.
Suppose the probability of getting the flu is 0.20, the probability of getting a flu shot is 0.60, and the probability of bothgetting the flu and a flu shot is 0.10. (a) Find the probability of the union between (getting the the flu) and (getting the flu shot).
Q1. Some couples planning a new family would prefer at least one child of each sex. The probability that a couple’s first child is a boy is 0.512. In the absence of technological intervention, the probability that their second child is a boy is independent of the sex of their first child, and so remains 0.512. Imagine that you are helping a new couple with their planning. If the couple plans to have only two children: What is the probability that at least one girl is born?
EXAMPLE 32. The probability that a contractor will get a plumbing contract is 2/3, and the probability that he will not get an electric contract is 5/9, the probability of getting at least one contract is 4/5, what is the probability that he will get both ?
Miss 'X' is fond of seeing films. The probability that she sees a film on the day before the test is 0.7. Miss X is any way good at studies. The probability that she maxes the test is 0.3 if she sees the film on the day before the test and the corresponding probability is 0.8 if she does not see the film. If Miss 'X' maxed the test, find the probability that she saw the film on the day before the test.

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12:30. The probability that a contractor will get a plumbing contract is 2/3, and the probability that he will not get an electric contract is 5/9. If the probability of getting at least one contro is 4/5, what is the probability that he will get both the contracts?