One deck. Fifty-two cards. How many arrangements? Let's put it this way: Any time you pick up a well shuffled deck, you are almost certainly holding an arrangement of cards that has never before existed and might not exist again. Yannay Khaikin explains how factorials allow us to pinpoint the exact (very large) number of permutations in a standard deck of cards.
Predictions underlie nearly every aspect of our lives, from sports, politics, and medical decisions to the morning commute. With the explosion of digital technology, the internet, and “big data,” the science of forecasting is flourishing. But why do some predictions succeed spectacularly while others fail abysmally? And how can we find meaningful patterns amidst chaos and uncertainty? From the glitz of casinos and TV game shows to the life-and-death stakes of storm forecasts and the flaws of opinion polls that can swing an election, “Prediction by the Numbers” explores stories of statistics in action. Yet advances in machine learning and big data models that increasingly rule our lives are also posing big, disturbing questions. How much should we trust predictions made by algorithms when we don’t understand how they arrive at them? And how far ahead can we really forecast?
One hundred green-eyed logicians have been imprisoned on an island by a mad dictator. Their only hope for freedom lies in the answer to one famously difficult logic puzzle. Can you solve it? Alex Gendler walks us through this green-eyed riddle.
Mathematical formulas can be found in the arrangement of seeds on a sunflower, the structure of the spirals in the shells of certain marine animals, and the distribution of leaves around a plant stem. These formulas recur in nature from snowflakes to the stripes on a zebra.
Kicking off the lectures with a mind-boggling stunt to prove how counterintuitive our gut instincts can be, Hannah launches into a lecture full of daring live experiments and surprising discoveries. From predicting the chance of snow at Christmas to dodging erupting volcanoes with Prof Chris Jackson, Hannah explores whether we really can predict the future. She meets the maths gurus behind Liverpool Football Club's winning streak to spill the beans on how analysing the numbers can give a team an edge in the Premier League, and reveals the tricks to perfecting your Christmas cracker pull to win the prize every time. Hannah also gathers tips from mind-performance coach Dr Michael Gervais, the 'secret weapon' crafting Olympic athletes' lucky mindsets, and the man responsible for Felix Baumgartner's jump from space, when 'first time lucky' meant life or death. Enrolling the help of maths comedian Matt Parker for the pinnacles of the lecture, the duo find order in unruly crowds, and whittle the audience down to the luckiest person in a series of challenges, before finally putting them to the test to prove whether they truly are one in a million. Using a host of maths tricks - from probability to game theory - Hannah discovers if we can in fact make our own luck, and ultimately shares the secrets to help us all lead luckier lives.