so I am doing some math that my friend asked me to do and for the life of me I cant figure it out... Here is the question. If anyone could solve this that would be amazing.

Suppose you have a fair 6-sided die. If you roll the die repeatedly, with 1 worth 1 point, and 6

worth 3 points, and all other outcomes (2, 3, 4 and 5) worth 2 points, and add up the points as you

go along (starting at 0), what is the probability pn that you’ll hit n? Check your formula with a

direct calculation of p