Reply to thread

Message

<blockquote data-quote="Zander" data-source="post: 762010" data-attributes="member: 1364">I could be mistaken, but I don't think anyone who has posted so far has understood Riveneye's question. What he wants is not a summary statistic such as the mean or standard deviation. He's after the formula/code to generate the frequency of a particular outcome for n dice with x, y, z etc&nbsp; number of sides. For example, if you roll 1d4, 1d8 and 2d10 together, what is the % frequency of rolling a 4.&nbsp; What if it's 1d6, 1d10 and 1d20 and the frequency you want to know is 21?The answer boils down to a fraction where the denominator is all the possible outcomes and is calculated by multiplying the s values for all the dice. For example, in the case of 1d4, 1d8 and 2d10, the denominator is 3200 (4 x 8 x 10 x 10). The numerator is the number of permutations that give a particular result. For example, there is only one way of rolling a 4 with 1d4, 1d8 and 2d10: if all four dice roll 1's. The frequency of this outcome is 0.03125% (1/3200). What Riveneye wants is a formula that allows him to figure out the frequency whatever the number of dice, sides and desired outcome...... at least that's what I think he wants! <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f615.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":confused:" title="Confused&nbsp; &nbsp; :confused:"&nbsp; data-smilie="5"data-shortname=":confused:" /></blockquote>

[QUOTE="Zander, post: 762010, member: 1364"] I could be mistaken, but I don't think anyone who has posted so far has understood Riveneye's question. What he wants is not a summary statistic such as the mean or standard deviation. He's after the formula/code to generate the frequency of a particular outcome for n dice with x, y, z etc number of sides. For example, if you roll 1d4, 1d8 and 2d10 together, what is the % frequency of rolling a 4. What if it's 1d6, 1d10 and 1d20 and the frequency you want to know is 21? The answer boils down to a fraction where the denominator is all the possible outcomes and is calculated by multiplying the s values for all the dice. For example, in the case of 1d4, 1d8 and 2d10, the denominator is 3200 (4 x 8 x 10 x 10). The numerator is the number of permutations that give a particular result. For example, there is only one way of rolling a 4 with 1d4, 1d8 and 2d10: if all four dice roll 1's. The frequency of this outcome is 0.03125% (1/3200). What Riveneye wants is a formula that allows him to figure out the frequency whatever the number of dice, sides and desired outcome... ... at least that's what I think he wants! :confused: [/QUOTE]

Verification