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Election analysis 2020: Biden v. Trump

[03 November 2020]

Biden
Trump
> 99.9% probability of winning
< 0.1% probability of winning
Mean of 360 electoral votes
Mean of 178 electoral votes


Electoral College Map

Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Lousiana Maine Maryland Massachusettes Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia D.C. Washington West Virginia Wisconsin Wyoming

Electoral College Map

Georgia Alaska Arizona Arkansas California Colorado Delaware Connecticut Florida Mississippi Alabama Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia D.C. Washington West Virginia Wisconsin Wyoming

It is election day! I’ve added a couple dozen more polls since The yesterday analysis, but the results have not changed much. Yesterday, Vice President Joe Biden was leading President Donald Trump with an average of 362 to 176 electoral votes.

Today, I tightened up the “current poll” window to 10 days. This has the effect of adding uncertainty in under-polled states like Washington and Oregon. But doing this should better capture late trends in hotly contested states.

Today, after 100,000 simulated elections, Biden wins 100,000 times. Biden received (on average) 360 to Trump’s 178 electoral votes. The election is today and this model predicts Biden will win with near certainty. The most likely outcome (14.6% probability) is 351 electoral votes. Biden’s worst outcome in the simulated elections was 308 electoral votes, suggesting that Biden has almost no chance of an outcome below 308 votes. The highest electoral vote total was 418.

Here is the distribution of electoral votes [FAQ] from the simulations:

The trajectory of this race over the past year can be seen from a series of elections simulated every week including polls from the preceding ten days (FAQ).

Ten most probable electoral vote outcomes for Biden (full distribution here):

  • 351 electoral votes with a 14.63% probability
  • 350 electoral votes with a 8.32% probability
  • 352 electoral votes with a 6.84% probability
  • 389 electoral votes with a 4.08% probability
  • 357 electoral votes with a 3.95% probability
  • 335 electoral votes with a 3.62% probability
  • 354 electoral votes with a 3.24% probability
  • 356 electoral votes with a 3.11% probability
  • 353 electoral votes with a 2.80% probability
  • 336 electoral votes with a 2.16% probability

After 100,000 simulations:

  • Biden wins greater than 99.9%, Trump wins less than 0.1%.
  • Average (SE) EC votes for Biden: 359.6 (18.9)
  • Average (SE) EC votes for Trump: 178.4 (18.9)
  • Median (95% CI) EC votes for Biden: 353 (334, 403)
  • Median (95% CI) EC votes for Trump: 185 (135, 204)

Each column of this table shows the electoral vote total aggregated by different criteria for the probability of winning a state (Safe=100%, Strong=90%+, Leans=60%+, Weak=50%+):

Threshold Safe + Strong + Leans + Weak
Safe Biden 248
Strong Biden 85 333
Leans Biden 18 18 351
Weak Biden 0 0 0 351
Weak Trump 0 0 0 187
Leans Trump 66 66 187
Strong Trump 58 121
Safe Trump 63

This table summarizes results by state. Click on the poll count to see the individual polls included for the state.

1 1 EC # Total % % Biden Trump
6 2 Votes polls Votes Biden Trump % wins % wins
AL 9 4 2385 40.0 60.0 0.0 100.0
AK 3 1 731 45.3 54.7 3.5 96.5
AZ 11 17 11877 51.0 49.0 93.7 6.3
AR 6 1* 573 33.0 67.0 0.0 100.0
CA 55 2 1362 65.3 34.7 100.0 0.0
CO 9 4 2486 56.7 43.3 100.0 0.0
CT 7 1 359 65.5 34.5 100.0 0.0
DE 3 1* 737 62.0 38.0 100.0 0.0
DC 3 0* (100) (0)
FL 29 30 31682 51.5 48.5 100.0 0.0
GA 16 13 9325 50.7 49.3 82.3 17.7
HI 4 1* 880 68.5 31.5 100.0 0.0
ID 4 1* 565 36.6 63.4 0.0 100.0
IL 20 4 2425 57.7 42.3 100.0 0.0
IN 11 3 1640 44.1 55.9 0.0 100.0
IA 6 8 6405 49.4 50.6 22.1 77.9
KS 6 1 1077 42.7 57.3 0.0 100.0
KY 8 1 370 43.0 57.0 2.9 97.1
LA 8 1 362 40.9 59.1 0.7 99.3
ME 2 3 2476 56.5 43.5 100.0 0.0
ME1 1 3 1266 61.6 38.4 100.0 0.0
ME2 1 3 1207 51.1 48.9 69.4 30.6
MD 10 1 493 68.4 31.6 100.0 0.0
MA 11 1 836 68.9 31.1 100.0 0.0
MI 16 22 16332 53.8 46.2 100.0 0.0
MN 10 8 5922 54.9 45.1 100.0 0.0
MS 6 2 1026 42.7 57.3 0.1 99.9
MO 10 3 2492 45.8 54.2 0.3 99.7
MT 3 2 1724 48.1 51.9 13.5 86.5
NE 2 0 (0) (100)
NE1 1 1* 376 48.9 51.1 38.4 61.6
NE2 1 2 1322 51.4 48.6 76.4 23.6
NE3 1 0 (0) (100)
NV 6 5 4439 52.6 47.4 99.4 0.6
NH 4 3 2398 55.9 44.1 100.0 0.0
NJ 14 3 1129 60.4 39.6 100.0 0.0
NM 5 1 1133 56.2 43.8 99.8 0.2
NY 29 2 908 65.9 34.1 100.0 0.0
NC 15 26 21488 50.7 49.3 94.5 5.5
ND 3 1* 405 42.0 58.0 0.7 99.3
OH 18 13 11478 49.3 50.7 13.5 86.5
OK 7 1* 5193 38.5 61.5 0.0 100.0
OR 7 1 317 61.8 38.2 99.7 0.3
PA 20 30 27038 52.5 47.5 100.0 0.0
RI 4 0 (100) (0)
SC 9 6 4744 46.5 53.5 0.0 100.0
SD 3 1 460 42.2 57.8 0.8 99.2
TN 11 1 477 41.5 58.5 0.5 99.5
TX 38 8 8407 49.4 50.6 22.3 77.7
UT 6 2* 1507 44.5 55.5 0.1 99.9
VT 3 1* 549 65.9 34.1 100.0 0.0
VA 13 4 2237 56.1 43.9 100.0 0.0
WA 12 1 477 60.4 39.6 99.9 0.1
WV 5 1* 522 39.5 60.5 0.0 100.0
WI 10 13 8594 54.4 45.6 100.0 0.0
WY 3 1* 552 34.4 65.6 0.0 100.0

* An older poll was used (i.e. no recent polls exist).

Details of the methods are given in the FAQ.

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