8 Suppose disease X can be passed from father to child. If a father has the disease, each child has a 1/2 chance of having it too (independent of whether any other children do). If a father doesn't have the disease, none of their children will. Alexei is a father, and there's a 1/4 chance he has disease X. What is the probability Alexei has disease X if he has 2 children and neither one has the disease?

8 Suppose disease X can be passed from father to child. If a father has the disease, each child has a 1/2 chance of having it too (independent of whether any other children do). If a father doesn't have the disease, none of their children will. Alexei is a father, and there's a 1/4 chance he has disease X. What is the probability Alexei has disease X if he has 2 children and neither one has the disease?

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

Zeynep plans to invest in Company 1, 2, 3, 4, 5 or 6.An investment is classified to be either a good investment or a bad investment.
When a person makes a reservation at our hotel, we know that there is a 96% chance that they will show up for their reservation. If we have 74 reservations booked for a random Thursday night, what is the probability that all 74 people will show up for their room? Each of our check in agents can only handle 10 guests per night. If we have 7 checks in agents, what is the probability that we will have more people than we can check in?
There is a 50% chance that a father carries the gene of a certain disease. If he is a carrier, then each of his children has a 50% chance of having the disease independently. If the father is not a carrier, a child will not have the disease. Suppose the father has had three children without the disease. What is the probability the father is a carrier?
Composite blood testing is sometimes used to save costs. A Hepatitis-C composite blood test means that when several blood samples are mixed together and tested for Hepatitis- C. The probability of testing positive for Hepatitis-C in a certain population is 0.490. If 4 bloodsamples are mixed together, what is the probability that composite sample would be positive (in other words, what is the probability that at least one of the people in the group is positive for Hepatitis-C)?
In a football match, there is a new striker on the Juventus side. The probability that the new striker will score goal today is three times higher than scoring none. Rakin and his friends are watching this match. Rakin tells his friends that the new striker is left footed as he read about him in an article; but, some friends are not believing him. The match is about to start and on the screen there is a note saying opponent defenders of Juventus are strong against right footed strikers. So, the probability of the striker being left footed will be five times higher if the striker scores a goal than scoring none. When match started, Rakin and his friends saw that the new striker is left footed. What is the probability that the striker will score today?
Suppose we build a taco-making machine. But there is a fatal flaw in the machine, where for each taco made, there's a 5% chance that it's actually a toxic taco. If the machine makes 100 tacos, what is the probability that at most 2 of them are toxic?
A scientist inoculates several mice, one at a time, with a disease germ untis he finds 3 that have contracted the disease. If the possibility of contracting the disease is 1/5, what is the probability that 10 mice are required?
In a city, there are two independent firetrucks, the probability that the first firetruck access to the fire place during ten minutes is 0.75, while the probability that the second firetruck access the fire place during ten minutes is 0.6. what is the probability that both firetrucks can access the fire place at the same time?