Probability involving a dice

Question

A game involves rolling a 6-sided die up to 6 times. You win the game if you roll a 1 on the1st roll, or 2 on the 2nd roll or...or a 6 on the 6th roll.

What is the probability of winning this game?

Answer 1

The probability never changes. It’s always a 1/6 chance you win the game. This is a trick question.

There are 36 possible outcomes for this problem (6 roles * 6 sides) but only 6 chances to win. 6/36 remains 1/6.

If you want to look at this statistically using the OR rule... you may do (1/36) + ... + (1/36) = (6/36).

Hope this helps.