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The Boy or Girl Paradox – A Counter-intuitive Probability Puzzle

A family has two children, and at least one of them is a boy. What is the probability that the other child is also a boy? At first glance, many might be tempted to say 1/2, assuming the gender of one child doesn’t affect the other. However, a careful analysis reveals a different answer. Continue reading
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The Infinite Monkey Theorem: “It Was the Best of Times, It was the Blurst of Times”

The Infinite Monkey Theorem is a famous thought experiment in probability and randomness. It suggests that if a monkey were to randomly press keys on a typewriter for an infinite amount of time, it would eventually produce the complete works of Shakespeare. But how realistic is this idea? And what does it tell us about… Continue reading
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The Prisoner’s Hat Dilemma

The Prisoner’s Hat Dilemma is a classic mathematical puzzle that explores logic, strategy, and probability. It typically involves a group of people who must guess the colour of the hat they are wearing based on limited information. The challenge is to devise a strategy that minimises the number of incorrect guesses. Continue reading
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The Monty Hall Problem: A Counterintuitive Probability Puzzle

Imagine you’re on a game show, facing three closed doors. Behind one door is a shiny new car, and behind the other two are goats. You choose a door, but before revealing what’s behind it, the host (who knows where the car is) opens another door, revealing a goat. Now, you’re given a choice: you… Continue reading