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In the tabletop game Dungeon\'s & Dragons, players sometimes are allowed to roll

ID: 3073118 • Letter: I

Question

In the tabletop game Dungeon's & Dragons, players sometimes are allowed to roll two 20-sided dice to determine whether or not the action they are taking is a success. They are allowed to take the highest number between the two rolls and compare it to some threshold. Suppose that a player needs to roll a 14 or higher on at least one of the dice to succeed. What is their probability of success?

Put your answer in percentage form (e.g. 10.71 not 0.1071) and then round to two decimal places. Do not include a % sign.

Explanation / Answer

probability of success =P(at least one dice shows a number 14 or higher)

=1-P(none of two dice shows a number 14 or higher) =1-(13/20)*(13/20)=0.5775 ~ 57.75 %