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# Question from DragonLord:

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Question from DragonLord:

So today, I was playing a dice game with my friend.

I roll a die, and he rolls a die. He told me the probability that he rolls a higher number than me is 1/2, (the die are standard six sided ones).

Is he right or wrong?

$$\begin{array}{|r|r|r|r|r|r|r|r|} \hline \text{he}\rightarrow & 1 & 2 & 3 & 4 & 5 & 6 \\ \text{you}\downarrow \\ \hline 1 & & \checkmark & \checkmark & \checkmark & \checkmark & \checkmark \\ \hline 2 & & & \checkmark & \checkmark & \checkmark & \checkmark \\ \hline 3 & & & & \checkmark & \checkmark & \checkmark \\ \hline 4 & & & & & \checkmark & \checkmark \\ \hline 5 & & & & & & \checkmark \\ \hline 6 \\ \hline \end{array} \\ \qquad \checkmark = \text{heigher}$$

The probability that he rolls a higher number than me is  $$\mathbf{\dfrac{15}{36}=\dfrac{5}{12}}\quad (0.41.\overline{6}\ \%)$$

Mar 30, 2020

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Thanks Heureka,

DragonLord,

I am wondering why you are not posting your questions directly onto the forum?

That would be the usual way to do it if you want a specific person to answer.

Mar 30, 2020
#2
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Oh, thank you for the tip, Melody. I will post more often on the Forum.

Mar 30, 2020
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Thanks DragonLord

Melody  Mar 31, 2020