10 Heads in a Row

What is the probability of getting 10 heads in a row from flipping a coin?

singingbanana - Dr James Grime

All is explained here:

singingbanana - Full version

Two excellent videos for introducing probability. Show the first video and ask the class how James did this. This often highlights misconceptions. Then show the full version. Now get pupils experimenting and calculating the cumulative frequency when they flip a coin 10 times (or if you have time, 100), which leads to further discussions. I have found this works with pupils of all abilities.

Monty Hall Problem

Monty Hall Problem

Source: successfulworkplace.org

Suppose you're on a game show and you're given the choice of three doors. Behind one is a car, behind the others, goats. You pick a door, say No. 1, and the host, who know what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it your advantage to switch your choice? (wikipedia)

Below is a collection of the best youtube videos on the Monty Hall Problem.

Numberphile - Lisa Goldberg, an adjunct professor in the Department of Statisitics at University of California, Berkley

Numberphile - extended maths version

Monty Hall Problem by singingbanana (Dr. James Grime, Cambridge University)

Monty Hall II by singingbanana

ASAP Science