You are playing a video game where your character, Levi, is fighting an opponent. Levi has a 20% chance that his opening attack will "crit" (do extra damage). Whether or not Levi gets a crit, there are three outcomes of the first turn: win, lose, or continue fighting. The following tree diagram summarizes the probabilities: Get A Crit Result Win 0.35 0.61 Crit Continue 0.2 0.04 Lose Win 0.2 0.73 0.8 No Crit O Continue 0.07 Lose A) The probability that Levi won't get a crit on the opening attack is B) If the attack doesn't crit, then the probability that Levi doesn't win is C) What's the probability that Levi wins on his opening turn?

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You are playing a video game where your character, Levi, is fighting an opponent. Levi has a 20% chance
that his opening attack will "crit" (do extra damage). Whether or not Levi gets a crit, there are three
outcomes of the first turn: win, lose, or continue fighting. The following tree diagram summarizes the
probabilities:
Get A Crit
Result
Win
0.35
0.61
Crit
Ю Сontinue
0.2
0.04
Lose
Win
0.2
0.73
0.8
No Crit
Ю Сontinue
0.07
Lose
A) The probability that Levi won't get a crit on the opening attack is
B) If the attack doesn't crit, then the probability that Levi doesn't win is
C) What's the probability that Levi wins on his opening turn?
D) What's the probability that Levi loses on his opening turn, given that he gets a crit?
E) What's the probability that Levi got a crit, given that he has to keep playing to his second turn?
Transcribed Image Text:You are playing a video game where your character, Levi, is fighting an opponent. Levi has a 20% chance that his opening attack will "crit" (do extra damage). Whether or not Levi gets a crit, there are three outcomes of the first turn: win, lose, or continue fighting. The following tree diagram summarizes the probabilities: Get A Crit Result Win 0.35 0.61 Crit Ю Сontinue 0.2 0.04 Lose Win 0.2 0.73 0.8 No Crit Ю Сontinue 0.07 Lose A) The probability that Levi won't get a crit on the opening attack is B) If the attack doesn't crit, then the probability that Levi doesn't win is C) What's the probability that Levi wins on his opening turn? D) What's the probability that Levi loses on his opening turn, given that he gets a crit? E) What's the probability that Levi got a crit, given that he has to keep playing to his second turn?
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