A and B roll a dice taking turns with A starting this process. Whichever one rolls the first 6, wins. Find the probability of A winning.

Stephany Wilkins

Stephany Wilkins

Answered question

2022-10-23

ALternate solution to a probability problem
A and B roll a dice taking turns with A starting this process. Whichever one rolls the first 6, wins. Find the probability of A winning.

Answer & Explanation

zupa1z

zupa1z

Beginner2022-10-24Added 20 answers

Step 1
Let p be the probability of A winning. If A doesn't win with the first move, it is as if A and B had swapped their roles.
Step 2
Thus, p = 1 6 + 5 6 ( 1 p )

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