# The grand master

**Discrete Mathematics**Level 2

Tordek has mastered the art of fighting. With his powerful broadsword he does 1d10+13 damage with each hit, and gets 3 swings per round.

He is fighting a dragon and needs to inflict 30 or more hit points to slay the beast. If two of his three swings connect, what are his chances of finishing the dragon off?

**Details:**

1d10+13 means "roll a 10-sided die with faces \(1, 2, \ldots, 10\), and add 13 to the result". This means the result is picked uniformly randomly from \(14, 15, \dots, 23\).

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