Sunday Times Teaser 2774 – Loaded Dice
by Ian Kay
Published: 22 November 2015 (link)
I have two traditional-looking dice, but only one of them is fair. In the other there is an equal chance of getting a 1, 2, 3, 4 or 5, but the die is loaded so that a 6 is thrown more than half the time. I threw the two dice and noted the total. It turned out that with my dice the chance of getting that total was double what it would have been with two fair dice.
What (as a simple fraction) is the chance of getting a 6 with the loaded die?