Question

You have a 1 in 4 chance of winning a game. How would you calculate the probability that you will win 3 times in a row?

Answer 1

If you have a 1/4 chance of winning, and you win, the next time you win the odds double to 1/8. If you win 1/8, then the odds of winning 3 times in a row are now 1/16, And so on.