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the tabletop game Dungeon's & Dragons, players are sometimes allowed to roll two 20-sided dice to...

the tabletop game Dungeon's & Dragons, players are sometimes 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 11 or higher on at least one of the dice to succeed. What is their probability of success?

Math   Statistics-And-Probability   
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the tabletop game Dungeon's & Dragons, players are sometimes 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 11 or higher on at least one of the dice to succeed

out of 20 out comes

now we need to find out the  probability of success..?

that is,

10 are less than 11 and 5.5 grater than equal to 11

we know that,

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

= 1- P( none of two dive shows 14 higher )

= 1- (10/20) * (10/20)

= 1- (0.5) * (0.5)

= 1-0.25

= 0.75

= 0.75 * 100

= 75 %

The  probability of success = 75%

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