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You're in a room of 100 people. If your life depends on you saying a ...

If you select any integer 1 through 100 at random, you'll have an ... If your life depends on you saying a number (1-100) no one else has chosen, you live, if not , you die. ... for your integer to be selected by someone else, in which case you die. But the chance that any particular person will pick your integer is just 1/100; ...

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Monty Hall problem - Wikipedia

The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on ... Suppose you're on a game show, and you're given the choice of three doors: ... He then says to you, "Do you want to pick door No. 2? .... "Monty is saying in effect: you can keep your one door or you can have the other two doors.

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Love - Wikiquote

Love is an echo in the feelings of a unity subsisting between two persons which is ... Choose to love whomsoever thou wilt: all else will follow. ..... How else can this be, but that you have preferred your own enjoyment to the consolation of the many? ...... Love has no uttermost, as the stars have no number and the sea no rest.

For more information, see Love - Wikiquote

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HW1 Solutions

For |D|, note that a outcome is not in D if the first and third flips are both Tails. The number ... Suppose you have two coins, one is biased with a probability of p coming up Heads, and one ... Moreover, since we randomly pick the coin for each flip, all sequences are equally likely. ... depends on the number of Heads and Tails.

For more information, see HW1 Solutions

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Let's run an experiment. Pick a number between 0 and 100. If the ...

May 17, 2015 ... The best entry will be the one which is closest to 2/3 of the average of all entries. ... people chose each number, there tend to be 3 large spikes: one around 50, ... If you actually want to win, it is usually best to guess in the range 15-25. .... but those could also just be people who are ... not aware of the math of ...

For more information, see Let's run an experiment. Pick a number between 0 and 100. If the ...

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When someone says you pick a number from 0-10, which one do ...

7 is the most likely number to be picked as people believe it is the most ... Firstly, if you were to choose a random number from 1 - 10, you can eliminate 1 and 10 ... why few people have chose it on the answers in this Quora thread however I am ... If I randomly pick a number from 1-100 everyday, how many days it will take to ...

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probability - Taking Seats on a Plane - Mathematics Stack Exchange

This is because the last person will either get the first seat or the last seat. .... bumped when he finds his seat occupied by someone with a smaller number, who was also ...... For n seats: (i) With 1/n probability, the passenger picks the seat of the first .... Note also that you'll only ever end up in your seat or mine, no one else's.

For more information, see probability - Taking Seats on a Plane - Mathematics Stack Exchange

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What is the probability of two people saying the same number ...

In reality, however, if you choose a random person and ask them to name a random number between 1 and 10 (inclusive), some numbers are going ... the probability that they name the same number will be greater than one in ten. .... ( 10,10) which are 10 out of 100 = 10/100 = 1/10 which is 10% probability.

For more information, see What is the probability of two people saying the same number ...