Moderators: Voice Dax, Voice Aeneas
Voice Aeneas wrote:The lotto will be reopened shortly
Spencer wrote:It's 4/6 or 2/3 if you want to simplify.
"To make matters worse, every time someone rolled doubles, they would have to re-roll just one of them until it wasnâ€™t a double..."
Which means on his next roll, he's only rolling one of the dice, not two. So the odds can be narrowed down to seven possible answers, 0-6 out of 6, just from catching that little detail.
Now to discuss the values. I'll fill in the given ones and put Xs in some spots for now:
1 Point
6 X
2 Point
X X X
3 Point
X X X
4 Point
11
Unplaced, for now
3, 4, 5, 7, 8, 9, 10
We know that 3 and 8 tie, as well as 4 and 9. We also know that 5 is one value below 3, and that "it could have been worse". We can conclude that 5 is not the lowest value, either 6, 7, 9, or 10 (other possible outcomes for Sam's new sum) is lower in value than 5. We already know 6 is one of the lowest, and that's all we need for now. Soooo, let's update the chart with new info:
1 Point
6 X
2 Point
5 X X
(5 not lowest, also can't be highest, so belongs here)
3 Point
3 8 X
(3 is one higher than 5, and 8 ties it)
4 Point
11
Unplaced, for now
4, 7, 9, 10
We also know that 4 and 9 tie, so they have to be the remaining two 2 Point slots. This leaves 7 and 10 unable to be determined by the clues given, but it doesn't matter in the end.
Now to the last possible rolls, and whether or not Sam losses:
1 for a sum of 5: Loses 2, LOSES
2 for a sum of 6: Loses 3, LOSES
3 for a sum of 7: If 10 is Loses, 7 is STILL ALIVE (and vice versa)
4 for a sum of 8: Cannot count and needs to be rolled again, STILL ALIVE
5 for a sum of 9: Loses 2, LOSES
6 for a sum of 10: If 7 is Still Alive, 10 is LOSES (and vice versa)
So, quote, "on his next roll" there are 4 outcomes out of 6 that cause him to lose. The odds are 4/6 or 2/3 simplified.
Users browsing this forum: No registered users