You play a game with your friend. You both roll a die. Whoever rolls higher wins

Question

You play a game with your friend. You both roll a die. Whoever rolls higher wins. If you roll the same number, you tie.

a)What is the probability you win? Draw a tree to figure this out. The first branch is the numerical value of your roll, the second branch is the numerical value of your friend's roll. Then you mark on the right whether you Win (W), Tie (T) or Lose (L).

b)What is the probability you tie? Look at the tree from (a). In detail.

c)Imagine upon ties, the game continues: you both roll again. You play until someone has a higher roll than the other. What is the probability you win this game? In detail.

d)Consider the same game as described above in (b) with one rule change: your friend automatically wins if you both tie on rolling a 1 and a 1. What is the probability you win? In detail.

Explanation / Answer

You play a game with your friend. You both roll a die. Whoever rolls higher wins

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