QUESTION:A certain person considers that he can drink and drive: usually he believes he has a negligible chanceof being involved in an accident, whereas he believes that if he drinks two pints of beer, his chance ofbeing involved in an accident on the way home is only one in five hundred. Assuming that he driveshome from the same pub every night, having drunk two pints of beer, what is the chance that he isinvolved in at least one accident in one year? Are there any assumptions that you make in answeringthe question?

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Answered: QUESTION: A certain person considers…

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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Homework Question B 1. Pocket A contains 2 red balls and 1 blue ball. Pocket B contains 2 red balls and 4 blue balls. I choose one of the two pockets randomly with equal probability, put my hand into it and take out two balls. i. ii. What is the probability that I have taken out one red ball and one blue one? What is the probability that I took the balls from pocket B, given that I have taken out one red ball and one blue one? 2. There is D4 dice (each is equally likely to roll any of the numbers from 1 to 4) I roll 9 of the dice. i. ii. What is the probability that I roll exactly 4 "1"s? What is the probability that I roll exactly 4 "1"s and exactly 3 "2"s?
Question 1: Arizona’s “Cash 4” is a 4/26 lottery. The lottery costs $1 to enter. If you match allfour numbers, you win $10, 000; if you match three numbers correctly, you win $25; and if you matchtwo you numbers you win $2.Find the probability of winning first place. Repeat for second and third place.Question 2: Compute the probability of losing the Cash 4 lottery.Question 3: Use the preceding parts to compute the expected value of the Cash 4 lottery; be sureto include the cost of the ticket in your calculations.
An actuary is studying the prevalence of three health risk factors, denoted by A, B, and C, within a population of women. For each of the three factors, the probability is 0.1 that a woman in the population has only this risk factor (and no others). For any two of the three factors, the probability is 0.12 that she has exactly these two risk factors (but not the other). The probability that a woman has all three risk factors, given that she has A and B, is 1/3 . What is the probability that a woman has none of the three risk factors, given that she does not have risk factor A? A) 0.280 B) 0.311 C) 0.467 D) 0.484 E) 0.700
Rework problem 9 from section 2.4 of your text. Assume that 9 people, including Tom and Jerry, apply for 5 sales positions. People are hired at random. (1) What is the probability that both Tom and Jerry are hired? (2) What is the probability that one is hired and one is not?
Question 2 pe* Given the probability that "she's up all night 'til the sun" OR "she's up all night for good fun" is 0.22, the probability that "she's up all night for good fun" is 0.44, and the probability that "she's up all night 'til the sun" is 0.28, what's the probability that "she's up all night 'til the sun" AND "she's up all night for good fun"? Round to 2 decimal places as needed.
In the basic science unit of the university, the following results were obtained from 350 students: 200 students passed the differential calculus course 160 passed physics course 187 passed probability-statistics course 112 approved differential calculus and probability-statistics 120 passed differential calculus and physics 95 passed physics and probability-statistics 80 passed the three courses. What is the probability of those who passed only one course? a. 0.051 b. 0.1714 c. 0.38 d. 0.0714
Question 3. Suppose there is a 24.50% chance each child will get influenza, whereas in 13.50% of two-child families both children get the disease. What is the probability that at least one child will get influenza? O a. 0.3550 O b.0.06 O c. 0.49 O d. 0.11
refer to the above question 1. if a student is selected at random then the probability that he/she has passed only one test (either math or state, bot not both) is
QUESTION 11 A critical thinking professor asked her students to indicate whether they believed each of two headlines. One headline was false, and the other was true, but the students did not know this. The probability that a student selected at random believed the true headline was 89% and the probability that the student believed the false headline was 85%. She found that 7896 of the students believed both headlines. a. In this sample, are the events "believed the false headline" and "believed the true headline" mutually exclusive? Explain b. Find the probability that a randomly selected student from this sample believed the true headline OR believed the false headline. T TTT Paragraph Arial 3 (12pt) T O Mashups HTML CSS Words:0 Path: p Click Save and Submit to save and submit. Click Sae All Answers to save all answers. >8 0
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You play a game of chance in which you can either win or lose (there are no other possibilities). The probability of winning is 0.12. On average, how many games we have to expect until we get the first win?

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