So far, so good.I was toying with this problem, and came up with numbers different from what DA offers. Can anyone explain where I'm going wrong?
I started with the assumption that the odds of getting at least one guess out of six right would be equal to 1 minus the odds of getting none right. To determine this, I figured:
The odds of getting the first guess wrong are 5/6, or 83%.
Since there are now only five options to choose from, the odds of getting the second guess wrong are now 4/5, or 80%.
There are five options to choose from, but they might all be wrong, not just four of them, because the guesser might already have chosen, as his first guess, the correct answer to the second question. So it's more complicated.
And the subsequent guesses are yet more complicated.