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: Batman Joker Bane Riddler Penguin Riddler Penguin 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)

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

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

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

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

Batman's Choice 4: Batman KG Beast David Cain Jezebel Jet Lynx Killer Croc 3636 Jezebel Jet Lynx Jezebel Jet Lynx Fight 1 - David Cain, Killer Croc or KG Beast Fight 2 - Jezebel Jet or 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? Batman KG Beast David Cain Jezebel Jet Lynx Killer Croc 3636 Jezebel Jet Lynx Jezebel Jet Lynx

Spiderman's Choices

Spiderman's Choice 1: Spiderman Shriek Carnage Mind Blast Whiplash Mind Blast Whiplash Fight 1 - Carnage or Shriek Fight 2 - Mind Blast or Whiplash

Spiderman's Choice 1: What is the probability that Spiderman will have the following battles: ·Shriek then Mind Blast? ·Carnage then Whiplash? Spiderman Shriek Carnage Mind Blast Whiplash Mind Blast Whiplash

Spiderman's Choice 2: Spiderman Grizzly Spot Gibbon Kangaroo Gibbon Kangaroo Fight 1 - Spot or Grizzly Fight 2 - Gibbon or 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? Spiderman Grizzly Spot Gibbon Kangaroo Gibbon Kangaroo

Spiderman's Choice 3: Spiderman Rhino Beetle Hydro Man Boomerang Hydro Man Boomerang Fight 1 - Beetle or Rhino Fight 2 - Hydro Man or 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? Spiderman Rhino Beetle Hydro Man Boomerang Hydro Man Boomerang

Spiderman's Choice 4: Spiderman Sandman Dr Octopus Green Goblin Venom Juggernaut 0.16 Green Goblin Venom Juggernaut Fight 1 - Dr Octopus or Sandman Fight 2 - Green Goblin, Juggernaut or 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? Spiderman Sandman Dr Octopus Green Goblin Venom Juggernaut 0.16 Green Goblin Venom Juggernaut

The streets are now safe!