Questions tagged [probability]

Question 1

There are four people playing hide and seek in a 1 vs. 3 format. Three of them are hiders, and the fourth is the seeker trying to find the hiders. The game starts by the hiders choosing which zones to ...

Question 2

Patrick is well known to visit Dublin's famous 'The Temple Bar Pub' daily since decades. He is systematically spotted to, kindly, challenge some pub customers to gamble. Patrick has one fair die, and, ...

Question 3

(This is a follow-up to Revealing the least helpful of three numbers.) The game is like last time, but with one new step. Andrew is secretly shown three real numbers, all independently, randomly, ...

Question 4

I thought of a little puzzle while contemplating the Sleeping Beauty problem. The puzzle: create a variant of the Sleeping Beauty experiment (which involves one fair coin toss) where there is a ...

Question 5

A group of 20 friends play "Secret Santa", and draw the name of their target randomly out of a hat. What is the probability that at least one person draws their own name? P.S. Turned out to ...

Question 6

On my way to and from work, there is a traffic light, where I wait anywhere between 0 and 1 minute. The waiting time is a random real number between 0 and 1 (independent and uniform). Let x be my ...

Question 7

A tetrahedron's vertices are independent uniformly random points in the interior of a sphere. What is the probability that the tetrahedron is intersected by the sphere's vertical axis?

Question 8

Eight people are going to play a game where they work together to try to win a prize. They will all stand in a circle, and while their eyes are closed, a referee will place a hat on their head bearing ...

Question 9

A red circle is surrounded by a chain of n congruent green circles, with each green circle touching its two neighboring green circles and the red circle. On each green circle, a random (uniform and ...

Question 10

A green circle is tangent to a red circle and a black circle. The three circles have equal radii. Their centres are collinear and distinct. Random point A is chosen on the red circle. Random points B ...

Question 11

An equilateral triangle has one vertex at the centre of a disk. One side of the triangle lies completely outside the disk and is colored green. A red line is drawn through two independent, uniformly ...

Question 12

The first prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 31, ... At step one, you will draw 2 letters complety at random among the 26 letters of the alphabet. You might for instance draw: "A&...

Question 13

While solving a problem about flipping coins, Blaise divided SPINED by STIPEND and got a probability of about 17.6%. What problem was Blaise trying to solve? (As usual in cryptarithms, the letters S, ...

Question 14

I have not seen the following simple paradox anywhere. Maybe most people are so smart that for them it isn't a paradox at all, but I think it is worth identifying. Is it a "puzzle"? Well, is ...

Question 15

Fermat and Pascal is playing a game with no tie. The final prize is €10000. A player who won 7 games first takes a prize. Fermat won 5 games, and Pascal won 3 games. Now, they can’t meet to play a ...

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Questions tagged [probability]

1 vs. 3 hide and seek challenge

Irish pub gambling

Hiding the most helpful of three numbers

Sleeping Beauty's evaporating certainty

What is the probability that at least one person draws their own name in randomized Secret Santa? [duplicate]

An odd question

What is the probability that a random tetrahedron inside a sphere is intersected by the sphere's vertical axis? [closed]

Hat puzzle with rock, paper, scissors

What is the limiting probability that the polygon contains the circle?

Which line is more likely to intersect the circle?

A disk and a triangle: What is the probability of intersection?

Prime and Alphabet Draws - Puzzling Stack Exchange

Here is the probability, but what was the question?

Roulette Paradox

Fermat and Pascal play a game

Hot Network Questions