#### Problem Of the Week: 28th June 2024

A drunk performs a random walk along a street. At one end of the street is a river, and at the other end is a police station. If he gets to either of these ends, he remains there. He starts n steps from the river, and there are N total steps between the river and the police station. What is the probability that he ends up at the river? At the police station?....

### Problem Of the Week: 4th March 2024

There are 25 red balls and 25 blue balls in a bag. Alice and Bob take turns drawing balls from the bag without replacement, with Alice going first. Interestingly, they notice that whenever a red ball....

### Problem Of the Week: 12th February 2024

Hundreds of years ago, scientists believed that air was a pure substance which, alongside earth, wind and fire, made up all matter on Earth. Nowadays, we know that air is a mixture of gases. 1 mole....

### Problem Of the Week: 29th January 2024

One of the CCF's guns is designed such that it can launch a projectile of mass 10 kg at a speed of 200 m/s. The gun is placed close to a straight, horizontal railway line and aligned such that the....

### Problem Of the Week: 20th November 2023

One of the CCF's guns is designed such that it can launch a projectile of mass 10 kg at a speed of 200 m/s. The gun is placed close to a straight, horizontal railway line and aligned such that the....

### Problem Of the Week: 7th October 2023

There are 100 lockers that line the main hallway of Holyport. Every morning, the security guards make sure that all of the lockers are closed so that there will be an orderly start to the day. One....

### Problem Of the Week: 24th September 2023

Alan and Claire live by the old Scottish saying, “Never have whisky without water, nor water without whisky!” So one day, when Alan has in front of him a glass of whisky, and Claire has in front of....

### Problem Of the Week: 22nd May 2023

The evening after national lockdown was lifted, a couple decided to celebrate their newfound freedom at a bar down the street. Much to their surprise, they find four other couples there who had the....

### Problem Of the Week: 15th May 2023

You want to create a family tree, but you are having trouble tracking down your grandmother’s birthdate. The only clue you found was a letter written from your great grandfather to your great....

### Problem of The week: 18 March

Problem of the week: 18 March 2023 This week’s question is one from the 2023 edition of the Chemistry Race, and is a particularly satisfying one to solve, without being too difficult!....
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