• Views : 70k+
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Interview Probability Puzzles #1 - Most Popular Monty Hall Brain Teaser

Difficulty Popularity

The host of a game show, offers the guest a choice of three doors. Behind one is a expensive car, but behind the other two are goats.

After you have chosen one door, he reveals one of the other two doors behind which is a goat (he wouldn't reveal a car).

Now he gives you the chance to switch to the other unrevealed door or stay at your initial choice. You will then get what is behind that door.

You cannot hear the goats from behind the doors, or in any way know which door has the prize.

Should you stay, or switch, or doesn't it matter ?

By Admin
  • Views : 80k+
  • Sol Viewed : 20k+

Interview Probability Puzzles #2 - Live Or Die Probability Puzzle

Difficulty Popularity

Hussey has been caught stealing goats, and is brought into court for justice.

The judge is his ex-wife Amy Hussey, who wants to show him some sympathy, but the law clearly calls for two shots to be taken at Hussey from close range.

To make things a little better for Hussey, Amy Hussey tells him she will place two bullets into a six-chambered revolver in successive order.

She will spin the chamber, close it, and take one shot.

If Hussey is still alive, she will then either take another shot, or spin the chamber again before shooting.

Hussey is a bit incredulous that his own ex-wife would carry out the punishment, and a bit sad that she was always such a rule follower.

He steels himself as Amy Hussey loads the chambers, spins the revolver, and pulls the trigger. Whew! It was blank. Then Amy Hussey asks, 'Do you want me to pull the trigger again, or should I spin the chamber a second time before pulling the trigger?'

What should Hussey choose?

  • Views : 40k+
  • Sol Viewed : 10k+

Interview Probability Puzzles #3 - Popular Probability Brain Teaser

Difficulty Popularity

Kangwa, Rafael and Ferdinand plans for gun fighting.
They each get a gun and take turns shooting at each other until only one person is left.

History suggest
Kangwa hits his shot 1/3 of the time, gets to shoot first.
Rafael, hits his shot 2/3 of the time, gets to shoot next if still living.
Ferdinand having perfect record at shooting(100% accuracy) shoots last , if alive.

The cycle repeats. If you are Kangwa, where should you shoot first for the highest chance of survival?

  • Views : 70k+
  • Sol Viewed : 20k+

Interview Probability Puzzles #4 - Three Rats Collide Probability Problem

Difficulty Popularity

Three rats are sitting at the three corners of an equilateral triangle. Each rat starts randomly picks a direction and starts to move along the edge of the triangle. What is the probability that none of the rats collide?

  • Views : 30k+
  • Sol Viewed : 10k+

Interview Probability Puzzles #5 - Chances of Having Same Birthday Problem

Difficulty Popularity

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?

  • Views : 50k+
  • Sol Viewed : 20k+

Interview Probability Puzzles #6 - Prisoner Emperor Brain Teaser

Difficulty Popularity

You are a prisoner sentenced to death. The Emperor offers you a chance to live by playing a simple game. He gives you 50 black marbles, 50 white marbles and 2 empty bowls. He then says, 'Divide these 100 marbles into these 2 bowls. You can divide them any way you like as long as you use all the marbles. Then I will blindfold you and mix the bowls around. You then can choose one bowl and remove ONE marble. If the marble is WHITE you will live, but if the marble is BLACK... you will die.'

How do you divide the marbles up so that you have the greatest probability of choosing a WHITE marble?

  • Views : 40k+
  • Sol Viewed : 10k+

Interview Probability Puzzles #7 - Paradox Probability Riddle

Difficulty Popularity

This is a famous paradox probability riddle which has caused a great deal of argument and disbelief from many who cannot accept the correct answer.

Four balls are placed in a bowl. One is Green, one is Black and the other two are Yellow. The bowl is shaken and someone draws two balls from the bowl. He looks at the two balls and announces that atleast one of them is Yellow. What are the chanches that the other ball he has drawn out is also Yellow?

  • Views : 60k+
  • Sol Viewed : 20k+

Interview Probability Puzzles #8 - Tough Probability Brain Teaser

Difficulty Popularity

Three people enter a room and have a green or blue hat placed on their head. They cannot see their own hat, but can see the other hats.
The color of each hat is purely random. They could all be green, or blue, or any combination of green and blue.
They need to guess their own hat color by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $50,000 each, but if anyone guess incorrectly they all get nothing.
What is the best strategy?

  • Views : 40k+
  • Sol Viewed : 10k+

Interview Probability Puzzles #9 - Chances Of Second Girl Child Problem

Difficulty Popularity

tipli and pikli are a married couple (dont ask me who he is and who she is)

They have two children, one of the child is a boy. Assume safely that the probability of each gender is 1/2.
What is the probability that the other child is also a boy?

Hint: It is not 1/2 as you would first think.

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