# A warden meets with 23 prisoners. He tells them the following: Each prisoner will be placed into a room numbered 1-23. Each will be alone in the room, which will be soundproof, lightproof, etc. In other words, they will NOT be able to communicate with each other. They will be allowed one planning session before they are taken to their rooms. There is a special room, room 0. In this room are 2 switches, which can each be either UP or DOWN. They cannot be left in between, they are not linked in any way (so there are 4 possible states), and they are numbered 1 and 2. Their current positions are unknown. One at a time, a prisoner will be brought into room 0. The prisoner MUST change one and only one switch. The prisoner is then returned to his cell. At any time t, given some N>0, there exists a finite t_0 by which time every prisoner will have visited room 0 at least N times. (In other words, there is no fixed pattern to the order or frequency with which prisoners visit room 0, but at any given time, every prisoner is guaranteed to visit room 0 again. If you’re still confused by this statement, ignore it, and you should be ok). At any time, any prisoner may declare that all 23 of them have been in room 0. If right, the prisoners go free. If wrong, they are all executed. What initial strategy is 100% guaranteed to let all go free?

2 months ago

## Solution 1

Guest #1947
2 months ago
The prisoners could do a pattern that could signal who has already been in the room. So for example, one light off, both lights off, one light on, both lights off. But with left and right lights to make the sequence last as long as possible. Then after that sequence to have the last one be the signal that everyone has been in there. I dunno this is tricky lol

## 📚 Related Questions

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A circle has a center at (1,-2) and radius of 4. Does the point (3.4,1.2) lie on the circle? Justify your answer.
Solution 1
Yes. (3.4, 1.2) is 4 units away from (1, -2).
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The base of a rectangular prism has an area of 173.6 square centimeters and a height of 9 centimeters. What is the volume, in cubic centimeters, of the right rectangular prism?
Solution 1
Volume=legnth tiems width times heigiht
legnth times widht=base area
volume=base area times hgiehg

base area=173.6
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volume=1562.4

Question
The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6
Solution 1
I think the answer is 6
Solution 2

Step-by-step explanation:

I just did this question as well and 6 was the correct answer. Hope this helped :)

Question
The function rule for the following graph is y = 2x + 2. What is the value of y in the ordered pair (2, y)? 24 4 10 6
Solution 1
Out of the ordered pair the 2 would be the x so you would need to plug in 2 for x in the equation so it would look like this

y=2(2)+2
finally solve for y
4+2
6=y

Solution 2

6

Hope I helped :3

Question
What is the probability of rolling a 1 with a number cube that has the numbers 1, 2, 3, 4, 5, and 6 and tossing heads with a coin? A. 1/12 B. 1/8 C. 1/2 D. 2/3
Solution 1
Probablity is (desired outcomes)/(total) possible outcomes so the dice 1 is desired and the total poassible outcomes is 6 since 6 numbers so probailty of rolling a 1 is 1/6 then flippin heads desired outcome=1 total possible=2 probabilty is 1/2 so we have 1/6 and 1/2 now we mulitply them 1/6 times 1/2=1/12 the answer is A
Solution 2
A. 1/12

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A carpenter bought bolts to finish a project. In all, the bolts weighed 3 pounds. There are 16 ounces in 1 pound. If each bolt weighs 1/15 a ounce, how many bolts did the carpenter buy?
Solution 1
First, we should figure out how many ounces the bolts the carpenter purchased weighs.  There are 16 ounces in a pound, therefore we should multiply this number by the number of pounds (3).

16*3= 48 ounces

Each bolt weighs 1/15 an ounce.  Therefore, to find the number of bolts that the carpenter bought, we should total weight of bolts (48 ounces) by the weight of each bolt (1/15).

48 / 1/15 = 720
The carpenter bought 720 bolts.

Question
A carpenter bought bolts to finish a project. In all, the bolts weighed 3 pounds. There are 16 ounces in 1 pound. If each bolt weighed 1/15 a ounce, how many bolts did the carpenter buy?
Solution 1
If 1 bolt weighed 1/15 an ounce 15x16=240 and 240x3=720
so he bought 720 bolts
Question
What the expression (4f-3+2g)-(4g+2)
Solution 1
For this question you can say:
4f -3 +2g - 4g -2
so now you can simplify and find the answer:
4f -3 -2g -2 = 4f -2g -5
have a nice day
Question
A car is traveling at a speed of 75 km/h. Identify the correct conversion factor setup required to compute the speed of the car in m/s. A) 75km 1hr x 1000m 1km x 1hr 60min x 60s 1min B) 75km 1hr x 1000m 1km x 1hr 60min x 1min 60s C) 75km 1hr x 1000m 75km x 1hr 60min x 1min 60s D) 75km 1hr x 1000m 75km x 1hr 60min x 60s 1min
Solution 1

Therefore, the speed of the car in m/s is m/s i.e., option (B) is correct.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

A car is traveling at a speed of km/h.

As we know,

So,

km/h= m/s

Hence, the speed of the car in m/s is m/s i.e., option (B) is correct.

To know more about the equation

brainly.com/question/12788590

#SPJ2

Solution 2
I think the answer is B
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Is 8 yd greater than 288 in.
Solution 1
3 feet is equal to 1 yard and 3 feet is 36 inches. 288 inches divided by 36 is 8 so 8 yards is equal to 288 inches.

Solution 2
I believe they are the same since one yard is 36 in, so 8x36 is 288. Hope i helped :)

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