A box contains one yellow, two red, and three green balls. Two balls arerandomly chosen without replacement. Define the following events:A: { One of the balls is yellow }B: { At least one ball is red}C:{ Both balls are green }D: {Both balls are of the same color }Find the following conditional probabilities:(a) P(A|B) =4/5(b) P(B|D) = 1/4(c) P(D|C°) = 1/12

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Answered: A box contains one yellow, two red, and…

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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In a management trainee program, 80% of the trainees are female, while 20% are male. Ninety percent of the females attended college; 78% of the males attended college. A mangement trainee is selected at random. what is the correct probaility notation for the joint probability of selecting a male who did not attend college.
A researcher collected data on adult alcohol consumption and marital status. She reported the number of adults in each category. 1- 60 drinks More than 60 drinks O drinks per month Total per month per month Single 20 100 30 150 Married 100 400 150 650 Widowed 10 25 15 50 Divorced 20 80 50 150 Total 150 605 245 1000 An adult is randomly selected from the study. Use this information to find the probabilities requested. Find the following probabilities as fractions. Don't simplify your results. a) What is the probability that a person drinks 1 - 60 drinks per month given that they are divorced? b) What is the probability that a person is divorced given that they drink 1 - 60 drinks per month? c) What is the probability that a person is single given that they have more than 60 drinks per month? d) What is the probability that a person has more than 60 drinks per month given that they are a widow?
Suppose 33.3% of high school students eat pizza and 42% drink soda. If 17.3% of high school students eat pizza and drink soda, what is the probability that a randomly chosen high student will either eat pizza, drink soda, or both?
A manufacturing plant produces light bulbs in three different colors: red, blue, and green. The probabilities of producing a red, blue, or green bulb are 0.2, 0.5, and 0.3, respectively. If a customer buys six bulbs at random, what is the probability of receiving at least two bulbs of each color?
Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent the sickle cell gene, and s a healthy gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who has sickle cell anemia. Second Parent First Parent Ss sS P(child has sickle cell anemia) =| (Type an integer or a simplified fraction.)
At the Washington University 35%, 25% and 40% of the students in Calculus are taught by Prof. A, Prof. B and Prof. C, respectively. The respective probabilities of failing in Calculus for the three professors are 6%, 7% and 5%. A student in Calculus in the previous semester was randomly selected and was found out to have failed in the subject. Under which class most likely did he belong?
Ponderosa Paint and Glass carries three brands of paint. A customer wants to buy another gallon of paint to match paint she purchased at the store previously. She can’t recall the brand name and does not wish to return home to find the old can of paint. So, she selects two of the three brands of paint at random and buys them. What is the probability that she matched the paint brand? Her husband also goes to the paint store and fails to remember what brand to buy. So, he also purchases two of the three brands of paint at random. Determine the probability that both the woman and her husband fail to get the correct brand of paint. (Hint: Are the husband’s selections independent of the wife’s selections?)
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3. For two independent events, A and B, P(A)=D0.1 and P(B)-D0.5. Enter your probabilities as decimals. 3(a) P(A and B) = 3(b) P(A| B) = %3! 3(c) P(A or B) =
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