Die Race!

Andrea and Raleigh are each rolling a fair, six-sided die. They roll their dice simultaneously, individually keeping a sum until someone reaches 100; whoever reaches 100 first wins. (If they reach 100 on the same roll, it's a tie.)

Andrea's die has sides 1, 2, 3, 4, 5, and 6. Raleigh's has sides 1, 1, 1, 6, 6, and 6. Who is more likely to win?


Use your intuition, and then try to prove your result!

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