Probability question Help!!!

I have a fair n-sided die and a fair m-sided die,(m>n), what is the probability that when rolled both dice shows the same number? (pls explain working)

Thanks

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Original post by NGEO

I have a fair n-sided die and a fair m-sided die,(m>n), what is the probability that when rolled both dice shows the same number? (pls explain working)

Thanks

The scores on the dice are independent, so the probabilities can be worked out independently.

Let

\omega_i

be the elementary event "scoring i on the n sided die",

i \in \{1,2,3,4...,n \}

then

P(\omega_i) = \frac{1}{n}, \forall i \in \mathbb{N}, i \leq n

It is similar for the m sided die.

Then if you make it analogous to numerical values it's pretty obvious.

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Probability question Help!!!

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