What is the likelihood of a randomly selected student in a school of 500 having both a parent who is a doctor and a parent who is a lawyer, given that 10% of the parents in the school are doctors, 15% are lawyers, and 3% are both doctors and lawyers? How can the probability be calculated using the formula for conditional probability?

What is the likelihood of a randomly selected student in a school of 500 having both a parent who is a doctor and a parent who is a lawyer, given that 10% of the parents in the school are doctors, 15% are lawyers, and 3% are both doctors and lawyers? How can the probability be calculated using the formula for conditional 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...

See similar textbooks

Similar questions

A company in California has multiple employees working in different professions.In the company 10% of the males and 20% of the females have an salary of more than $5500. In this company, 60% of the employees are males. If an employee is selected at random and found to have a salary of more than $5500, find the probability that the employee is a male?
A common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight. Suppose that the percentage of no-shows at flight time is 2%. For a particular flight with 246 seats, a total of 250 tickets were sold. What is the probability that the airline overbooked this flight?
In a recent survey of 705 teens, 300 said they have a sister and 383 teens have a brother. One-third of those teens with a sister also have a brother. What is the probability that a teen has a sister or brother? What is the probability that a teen has a sister or no siblings? What is the probability that a teen has a brother or no siblings?
An airline tracks data on its flight arrivals. Over the past six months, 70 flights on one route arrived early, 150 arrived on time, 15 were late, and 25 were canceled. What is the probability that a flight is early? On-time? Late? Canceled? Are these outcomes mutually exclusive? What is the probability that a flight is either early or on time? How can I calculate this problem in excel since it is business statistics?
Eli has a jar full of marbles. In the jar there are 1818 blue marbles, 1010 red marbles and 1111 purple marbles. a. She selects a marble at random from the jar. She does not replace the marble. She selects a second marble from the jar. What is the probability that the second marble is red given that the 1st marble was also red? What is the correct interpretation of this question?
Suppose 50% of the students in school have a part time job. Among those who have a partime job, 20% of them need to work at least 20 hours per week. If you randomly select a student in school, what’s the probability that the student does not work or works less than 20 hours per week?
If the probabilities that an automobile mechanic will service 3, 4, 5, 6, 7 or 8 or more cars on any given weekday are, respectively, 0.12, 0.19, 0.28, 0.24, 0.10, and 0.07, what is the probability that he will service at least 5 cars on his next day at work?
Cheetahs account for 44% of big cats in zoos, with males accounting for 25%. . Also, 68% of the males are cheetah. A large cat is chosen at random. What is the probability that it is a male cheetah?
Suppose you have just received a shipment of 30 modems. Although you don't know this, 8 of the modems are defective. To determine whether you will accept the shipment, you randomly select 9 modems and test them. If all 9 modems work, you accept the shipment. Otherwise, the shipment is rejected. What is the probability of accepting the shipment? The probability of accepting the shipment is...
Suppose that past history shows that 60% of college students prefer Brand C cola. A sample of five (5) students is to be selected. What is the probability that at most two (2) prefer Brand C cola?
The winter clothing drive has received donations of 5 coats, 23 pairs of gloves, 19 scarves, and 3 hats so far. Based on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves?
Suppose approximately 75% of all marketing personnel are extroverts, whereas about 65% of all computer programmers are introverts. What is the probability that 2 or more are introverts? What is the probability that all are introverts?