A Word Problem for Alt-Left Voters
Billy, an Alt-Left voter, is trying to decide who to vote for in the upcoming Presidential Election.
- Candidate Green and Billy share the same opinion 100% of the time.
- Candidate Blue and Billy share the same opinion 75% of the time.
- Candidate Orange and Billy share the same opinion 0% of the time.
However…
- Candidate Green has a 0% chance of getting elected.
- Candidate Blue has a 51% chance of getting elected.
- Candidate Orange has a 49% chance of getting elected.
In order to pass any of Billy’s opinions into law, a candidate must:
- Get elected
- Be able to pass bills in the legislature.
How likely is it for each Candidate to be able to get laws that Billy likes passed through Congress?
- Candidate Green, if elected, would have 0% chance passing bills that Billy likes.
- Candidate Blue, if elected, would have a 50% chance of passing bills that Billy likes.
- Candidate Orange, were he elected, would never pass a bill that Billy likes.
So, which Candidate Should Billy Support?
Be sure to show your work.