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Mahoney chooses two real numbers that are on the closed interval [0,100] randomly, uniformly, and independently.

⦿ He says that the two numbers are 𝘨𝘰𝘰𝘥 if their sum is greater …

You have three boxes A,B,C respectively containing 0, 0, 27 balls initially. At every ith move you make, you must transfer exactly i balls from one box to another. You …

Six classmates are exchanging souvenirs among each other in the graduation party after Gaokao. For each pair of two students, they can exchange once at most. For each round of …

Problem accredited to Aaron Pain (Bexhill College).

In A level further mathematics you study core content and take two options. However, you are instead allowed to take as many options …

There are 10 houses in row. Each is colored randomly either orange, green, or blue.

What is the expected number of houses which have two orange neighbors?

As an example: …

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