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<blockquote data-quote="Fenris-77" data-source="post: 8421498" data-attributes="member: 6993955"><p>I have a dice question that has proven to be beyond my back-of-napkin math skills. The base is a 2d6 advantage roll, so roll 3d6 and pick the two highest. That part I'm fine with, but what I want to do is a a push/stress widget to allow advantage, wherein you would roll your two normal (white) d6s and add one black d6. You still pick the two highest for success, but if the black is highest there is also some additional badness coming your way. I can't figure out what the actual chances of the black die being highest are (not tied for highest mind, but actually highest). My intuition says it's not far off 1 in 3, but I've learned not to trust my intuition when it comes to stats. <img src="https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/1f600.png" class="smilie smilie--emoji" loading="lazy" width="64" height="64" alt=":D" title="Big grin&nbsp; &nbsp; :D"&nbsp; data-smilie="8"data-shortname=":D" /></p></blockquote><p></p>

[QUOTE="Fenris-77, post: 8421498, member: 6993955"] I have a dice question that has proven to be beyond my back-of-napkin math skills. The base is a 2d6 advantage roll, so roll 3d6 and pick the two highest. That part I'm fine with, but what I want to do is a a push/stress widget to allow advantage, wherein you would roll your two normal (white) d6s and add one black d6. You still pick the two highest for success, but if the black is highest there is also some additional badness coming your way. I can't figure out what the actual chances of the black die being highest are (not tied for highest mind, but actually highest). My intuition says it's not far off 1 in 3, but I've learned not to trust my intuition when it comes to stats. :D [/QUOTE]

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