# Solving probability questions using tree diagram method [closed]

How to find probability of one six when a six-sided die is thrown three times ? I tried out the tree diagram but I couldn't get the answer. Please if anyone can help me to solve this problem.

Thank you

## closed as off-topic by John B, user10354138, Henrik, Gibbs, Xander HendersonNov 4 '18 at 0:06

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• As a hint: since you don't care about the exact value of the non-$6$ outcomes of a single die roll, you can just imagine that there are only two possible outcomes, namely $6$ and $X$ where $X$ just stands for "not $6$". Of course they have different probabilities, namely $\frac 16$ and $\frac 56$. – lulu Nov 3 '18 at 20:36
• When you say one six, I assume you mean exactly one six. This is a binomial distribution with $p = \frac{1}{6}$ and $q = 1 - p = \frac{5}{6}$. – Bob Nov 3 '18 at 20:51

Here is my attempt at a tree. Note, there are $$3$$ ways to get a single $$6$$.