## Author Archives: admin

## Breaking the back of a camel

A camel is loaded with straws until it's back breaks. Each straw has a weight uniformly distributed between 0 and 1, independent of other straws. The camel's back breaks as soon as the total weight of all the straws exceeds 1. Find the expected weight of the last straw that breaks the camel's back. (knowledge [Read the full story ...]

## Car wheels

A car has 4 tires and 1 spare tire. Each tire can travel a maximum distance of 20000 miles before wearing off. What is the maximum distance the car can travel before you are forced to buy a new tire? You are allowed to change tires (using the spare tire) unlimited number of times. - [Read the full story ...]

## Form a triangle

You certainly can make a triangle from 3 unit toothpicks called a, b and c (each being a side opposite angles A, B, and C respectively. But what if you were to: Cut a piece from b and burn it. Cut a piece from c and burn it. Leave a alone. What are the probabilities [Read the full story ...]

## Hat puzzle

There are 3 people each wearing either a white or a black hat. They can see everyone's hat except their own. They must design a strategy so that they can maximize the chances of success of at least one person guessing the hat color correctly and no one guessing wrong. They cannot talk to each [Read the full story ...]

## jumping coins

There are n coins placed in a row. The goal is to form n/2 pairs of them by a sequence of moves. On the first move a single coin has to jump over one coin adjacent to it, on the second move a single coin has to jump over two adjacent coins, on the third [Read the full story ...]