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For an attack to successfully hit a given Armor Class, would it need to get a number higher than the Armor Class? Or does it hit if the total exactly equals the Armor Class value as well?

Does the answer to this question change depending on what type of attack it is?

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From the PHB section on Attack Rolls, emphasis added:

If the total of the roll plus modifiers equals or exceeds the target's Armor Class (AC), the attack hits.

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    \$\begingroup\$ The mnemonic that I sling around is "Ties go to the roller." \$\endgroup\$
    – goodguy5
    Commented Dec 11, 2018 at 14:56
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    \$\begingroup\$ Or as I just heard in Role-playing Games Chat: "Tie goes to the die." or "die wins tie" \$\endgroup\$ Commented Dec 11, 2018 at 18:27
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    \$\begingroup\$ Or, if you want an equivalent to "equals or exceeds": "meets or beats". \$\endgroup\$
    – V2Blast
    Commented Dec 11, 2018 at 19:02
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    \$\begingroup\$ I call ACs and DCs the 'target number'. You succeed if you hit the target. \$\endgroup\$ Commented Dec 17, 2019 at 16:15
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    \$\begingroup\$ Unless you rolled a natural 1. Even if you equal or beat the AC it doesn’t matter. But I assume most people know that. \$\endgroup\$
    – Maxpire
    Commented Aug 24, 2021 at 19:40

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