WeGeneralizing Efron, we can get probability $\ge 70\%$ with six 10-sided dice:
- 10 sides $=6$
- 3 sides $=11$, 7 sides $=5$
- 4 sides $=10$, 6 sides $=4$
- 5 sides $=9$, 5 sides $=3$
- 6 sides $=8$, 4 sides $=2$
- 7 sides $=7$, 3 sides $=1$
We can get probability $\ge 72\%$ (actually $.7218934911 = 122/169$) with eight 130-sided dice:
- 130 sides $=8$
- 36 sides $=15$, 94 sides $=7$
- 50 sides $=14$, 80 sides $=6$
- 58 sides $=13$, 72 sides $=5$
- 65 sides $=12$, 65 sides $=4$
- 72 sides $=11$, 58 sides $=3$
- 80 sides $=10$, 50 sides $=2$
- 94 sides $=9$, 36 sides $=1$