NOVA leads viewers on a mathematical mystery tour - a provocative exploration of math's astonishing power across the centuries. We discover math's signature in the swirl of a nautilus shell, the whirlpool of a galaxy, and the spiral in the centre of a sunflower. Math was essential to everything from the first wireless radio transmissions to the successful landing of rovers on Mars. But where does math get its power?

Chance or coincidence? In statistics, that is often the question. Examine how the mathematics of 'luck' can put the odds in your favour.

Fractals have opened up a path to scientific understanding that would have never been taken seriously if it weren't for these daring mathematicians.

The Challenger space shuttle disaster was blamed on faulty O-rings. How can probability calculations on random variables help predict the chances of this kind of failure?

Casinos are as well versed in probability as statisticians and probability models help them maintain the house advantage over gamblers.

An inspiration film that explores the brilliance of a mathematician that many believed could decipher the very fabric of the universe - possibly existence itself.

Probability is the mathematics of chance behaviour - and can help predict events such as the daily weather, or whether an asteroid will collide with Earth.

Struggling with Rubik's Cube since it came out in the '80s? Learn how to solve the puzzle from any one of the 43 quintrillion starting points with an algorithm and simple advice.

What are the chances that two people share the same birthday?

A visit to the University of New Hampshire Survey Centre illustrates how pollsters create accurate surveys. They can then use details from their sample to make inferences about a whole population.

Beyond Infinity author Eugenia Cheng explains why testing makes people so anxious about mathematics, how teaching could be transformed, and argues that maths is a way of thinking clearly, not just numbers.

Does holding a heavier clipboard make you estimate that a jar of coins has more money in it than if you're holding a lighter clipboard? Psychologists use one-way ANOVA to analyse the data from this experiment.

Historical story of how statisticians built the case against DDT as the culprit behind plummeting peregrine falcon population numbers.

Host Dr Pardis Sabeti's own research examines possible genetic resistance to deadly Lassa fever in West Africa. Using inference for two-way tables helps untangle potential relationships.

Managers have no clue what conditions actually motivate their workers best, as shown by research conducted by Teresa Amabile, host of the original Against All Odds.

Comparing the activity and calorie expenditure levels of Western office workers and African hunter-gatherers adds some surprising new data to the science of obesity.

A brewer uses this technique to monitor quality differences in multiple batches of the same beer.

Is a newly discovered poem really written by William Shakespeare? Using statistical analysis of his known word use, researchers set up null and alternative hypotheses to investigate.

A battery manufacturer tests just a sample of its product to verify its claims about battery life. A margin of error and a confidence level help quantify its accuracy.

This quality control method helped Quest Diagnostics streamline and improve their system for processing and testing lab samples so they could meet their nightly deadlines.

Heights of third graders in one class. Quality scores for circuit boards at a factory. Taking multiple samples allows us to visualise the sampling distribution of the sample mean.

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