Batman and Spidermans Probability Problems Batman and Spiderman

Batman and Spiderman's Probability Problems

Batman and Spiderman have lots of people who want to get rid of them, but some are more dangerous than others, so he has to pick and choose who to battle against to keep the public as safe as possible. Each makes their decision independently, meaning that a previous fight doesn't affect who he chooses to fight next. Batman gives each choice a fractional or decimal value that adds up to 1, whereas Spiderman uses a similar system but with decimals.

Batman's Choices

Batman's Choice 1: Fight 1 - Bane or Joker (Joker is twice as dangerous as Bane) Fight 2 - Riddler or Penguin (Penguin is 3 times as dangerous as Riddler) 1 4 Riddler 1 3 Bane 3 4 Penguin Batman 1 4 2 3 Riddler Joker 3 4 Penguin

Batman's Choice 1: What is the probability that Batman will have the following battles: ·Joker then Penguin? ·Bane then Penguin? 1 4 Riddler 1 3 Bane 3 4 Penguin Batman 1 4 2 3 Riddler Joker 3 4 Penguin

Batman's Choice 2: Fight 1 - Catwoman or Harley Quinn Fight 2 - Riddler or Penguin 1 5 White Rabbit 3 5 Catwoman 4 5 Fright Batman 1 5 2 5 White Rabbit Harley Quinn 4 5 Fright

Batman's Choice 2: What is the probability that Batman will have the following battles: ·Catwoman then Fright? ·Harley Quinn then White Rabbit? 1 5 White Rabbit 3 5 Catwoman 4 5 Fright Batman 1 5 2 5 White Rabbit Harley Quinn 4 5 Fright

Batman's Choice 3: Fight 1 - Dr Double X or Professor Milo Fight 2 - Dr Phosphorus or Professor Pyg 4 7 Dr Phosphorus 1 3 Dr Double X 3 7 Professor Pyg Batman 4 7 2 3 Dr Phosphorus Professor Milo 3 7 Professor Pyg

Batman's Choice 3: What is the probability that Batman will have the following battles: ·Professor Milo then Dr Phosphorus? ·The Professors? ·He must fight at least 1 Doctor? 4 7 Dr Phosphorus 1 3 Dr Double X 3 7 Professor Pyg Batman 4 7 2 3 Dr Phosphorus Professor Milo 3 7 Professor Pyg

Batman's Choice 4: Fight 1 - David Cain, Killer Croc or KG Beast Fight 2 - Jezebel Jet or Lynx 3 5 Jezebel Jet 1 6 David Cain 2 5 3 6 Batman Lynx Jezebel Jet Killer Croc 2 6 2 5 3 5 Lynx Jezebel Jet KG Beast 2 5 Lynx

Batman's Choice 4: What is the probability that Batman will have the following battles: ·KG Beast then Jezebel Jet? ·Killer Croc then Lynx? ·He will not fight David Cain or Lynx? 3 5 1 6 David Cain 2 5 Lynx 3 5 3 6 Batman Jezebel Jet Killer Croc 2 6 3 5 2 5 Lynx Jezebel Jet KG Beast 2 5 Lynx

Spiderman's Choices

Spiderman's Choice 1: Fight 1 - Carnage or Shriek Fight 2 - Mind Blast or Whiplash 0. 4 Mind Blast 0. 7 Carnage 0. 6 Whiplash Spiderman 0. 3 0. 4 Mind Blast Shriek 0. 6 Whiplash

Spiderman's Choice 1: What is the probability that Spiderman will have the following battles: ·Shriek then Mind Blast? ·Carnage then Whiplash? 0. 4 Mind Blast 0. 7 Carnage 0. 6 Whiplash Spiderman 0. 3 0. 4 Mind Blast Shriek 0. 6 Whiplash

Spiderman's Choice 2: Fight 1 - Spot or Grizzly Fight 2 - Gibbon or Kangaroo 0. 1 Gibbon 0. 8 Spot 0. 9 Kangaroo Spiderman 0. 2 0. 1 Gibbon Grizzly 0. 9 Kangaroo

Spiderman's Choice 2: What is the probability that Spiderman will have the following battles: ·Spot then Kangaroo? ·He will fight at least one villain whose name begins with G? 0. 1 Gibbon 0. 8 Spot 0. 9 Kangaroo Spiderman 0. 2 0. 1 Gibbon Grizzly 0. 9 Kangaroo

Spiderman's Choice 3: Fight 1 - Beetle or Rhino Fight 2 - Hydro Man or Boomerang 0. 55 Hydro Man 0. 35 Beetle 0. 45 Boomerang Spiderman 0. 65 0. 55 Hydro Man Rhino 0. 45 Boomerang

Spiderman's Choice 3: What is the probability that Spiderman will have the following battles: ·Rhino then Hydro Man? ·Have exactly one battle with a villain whose name begins with B? 0. 55 0. 35 Beetle Hydro Man 0. 45 Boomerang Spiderman 0. 65 0. 55 Hydro Man Rhino 0. 45 Boomerang

Spiderman's Choice 4: Fight 1 - Dr Octopus or Sandman Fight 2 - Green Goblin, Juggernaut or Venom 0. 6 0. 16 0. 75 Dr Octopus Green Goblin Juggernaut 0. 24 Venom Spiderman Green Goblin 0. 6 0. 25 0. 16 Juggernaut Sandman 0. 24 Venom

Spiderman's Choice 4: What is the probability that Spiderman will have the following battles: ·Dr Octopus then Juggernaut? ·He will not fight Sandman or Venom? 0. 6 0. 16 0. 75 Dr Octopus Green Goblin Juggernaut 0. 24 Venom Spiderman Green Goblin 0. 6 0. 25 0. 16 Juggernaut Sandman 0. 24 Venom

The streets are now safe!