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Suppose Alex is an avid fan of board games. In one particular game that he is playing, his character can cast a spell that shoots a beam of energy that deals 1d4+1 damage, where 1d4 represents the roll of a four-sided die with the numbers 1 through 4. For example, rolling a 2 means that this spell deals 2+1 = 3 damage. Suppose that every time Alex's character levels up, he gets to shoot an additional beam of energy when casting this spell. Alex's character, a level 10 wizard named Tom Brady, is casting this spell on a monster with 31 points of health. That is, this spell will shoot 10 beams of energy which each deal 1d4+1 points of damage. What is the probability that this monster dies with a single cast of Tom Brady's spell?

Suppose Alex is an avid fan of board games. In one particular game that he is playing, his character can cast a spell that shoots a beam of energy that deals 1d4+1 damage, where 1d4 represents the roll of a four-sided die with the numbers 1 through 4. For example, rolling a 2 means that this spell deals 2+1 = 3 damage. Suppose that every time Alex's character levels up, he gets to shoot an additional beam of energy when casting this spell. Alex's character, a level 10 wizard named Tom Brady, is casting this spell on a monster with 31 points of health. That is, this spell will shoot 10 beams of energy which each deal 1d4+1 points of damage. What is the probability that this monster dies with a single cast of Tom Brady's spell?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 59PFA
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Suppose Alex is an avid fan of board games. In one particular game that he is playing, his character can cast a spell that shoots a beam of energy that deals 1d4+1 damage, where 1d4 represents the roll of a four-sided die with the numbers 1 through 4. For example, rolling a 2 means that this spell deals 2+1 = 3 damage. Suppose that every time Alex's character levels up, he gets to shoot an additional beam of energy when casting this spell. Alex's character, a level 10 wizard named Tom Brady, is casting this spell on a monster with 31 points of health. That is, this spell will shoot 10 beams of energy which each deal 1d4+1 points of damage. What is the probability that this monster dies with a single cast of Tom Brady's spell?
Transcribed Image Text:Suppose Alex is an avid fan of board games. In one particular game that he is playing, his character can cast a spell that shoots a beam of energy that deals 1d4+1 damage, where 1d4 represents the roll of a four-sided die with the numbers 1 through 4. For example, rolling a 2 means that this spell deals 2+1 = 3 damage. Suppose that every time Alex's character levels up, he gets to shoot an additional beam of energy when casting this spell. Alex's character, a level 10 wizard named Tom Brady, is casting this spell on a monster with 31 points of health. That is, this spell will shoot 10 beams of energy which each deal 1d4+1 points of damage. What is the probability that this monster dies with a single cast of Tom Brady's spell?
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