Consider the following 9 door version of the Monty Hall problem. There are 9 doors, behind one of which there is a car (which you want), and behind the rest of which there are goats (which you don’t want). 1 2 Initially, all possibilities are equally likely for where the car is. You choose a door. Monty Hall then opens 4 goat doors, and offers you the option of switching to any of the remaining 4 doors. Assume that Monty Hall knows which door has the car, will always open 4 goat doors and offer

1 answer

Question:

Consider the following 9 door version of the Monty Hall problem. There are 9 doors, behind one of which there is a car (which you want), and behind the rest of which there are goats (which you don’t want). 1 2 Initially, all possibilities are equally likely for where the car is. You choose a door. Monty Hall then opens 4 goat doors, and offers you the option of switching to any of the remaining 4 doors. Assume that Monty Hall knows which door has the car, will always open 4 goat doors and offer the option of switching, and that Monty chooses with equal probabilities from all his choices of which goat doors to open. Should you switch? What is your probability of success if you switch to one of the remaining 4 doors?

Answer: The probability of success if you switch to one of the remaining 4 doors is [tex]P(K) =\frac{4}{9}[/tex]Step-by-step explanation:From the question we are told that The number of doors is n = 9 Generally the probability that the car is in the door you choose is [tex]P(C) = \frac{1}{9}[/tex]Generally the probability that the car is in the rest of the doors is [tex]P(C)' = \frac{8}{9}[/tex]Given that Monty Hall opened the 4 goat doors then the probability that the car will be in the remaining 4 doors is mathematically evaluated as [tex]P(K) = \frac{P(C)'}{2}[/tex]=> [tex]P(K) = \frac{\frac{8}{9}}{2}[/tex]=> [tex]P(K) =\frac{4}{9}[/tex]Thus the probability of success if you switch to one of the remaining 4 doors is [tex]P(K) =\frac{4}{9}[/tex]

You are standing 1 meter from a squawking parrot. If you move to a distance three meters away, the sound
intensity will be what fraction of its original value?...

A fastpitch softball player signs a six-
vear contract. Her agent expects that she will
earn $1,000,000 over the next six years. If the
agent is right, how many bonus payments, on
average, should the pitcher expect each year?
Explain how you got the answer....

Which information can always be read directly from an equation written in point-slope form?
-The location of a point on the line.
-The location of the y-intercept.
-The location of the 2-intercept.
-The location of 2 (x, y) coordinate points....

The government owns or controls most of the factors of production—almost all land and capital—and dominates the economy. There is some private enterprise. For example, farmers may work small plots of land and farm them for profit.
Where would this country fall on the economic spectrum?
a
A
b
B...

A (not necessarily convex) 11-sided polygon can have at most how many right interior
angles? Be sure to explain why an 11-sided polygon can have that number of right interior angles, and why it can’t have any more than that. You will be graded on your explanation. Please help!...

A sample of 20 joint specimens of a particular type gave a sample mean proportional limit stress of 8.41 mpa and a sample standard deviation of 0.77 mpa....

Which of the following accurately describes the goals of the NAACP and other civil rights groups?
a. To advance the cause of civil rights through violent protest
b. To advance the cause of civil rights through non-violent protests
c. To advance the cause of civil rights through winning elected ...

PLZ!!! PROMISE TO GIVE BRAIN ⚠⚠⚠
You are going to write an article for your school magazine giving your views on how people treat animals.
Write a persuasive essay arguing for your perspective on the importance of caring for animals....

Gina works in an SDLC team. When Gina makes changes to a file, no one else is allowed to acess it. Which type of version control process does Gina's company use.
A. file locking
B. file merging
C. file subversion
D. file conversion...