Friday, August 30, 2019

The Ultimate Price is Right Strategy Guide: Race Game

Race Game

Rules
Four prizes are shown as are four price tags. The contestant must match up the price tags to the corresponding prizes. The contestant is then shown how many they got correct; if they got fewer than 4, they get to make changes and try again. They keep going until they either run out of the allotted 45 seconds or get all 4 right.

Random fact
The show kicked off its 40th season by playing Race Game for four cars. Here's how it went:

Win-loss record
  • Actual (seasons 29-47): 113-97 (53.81%)
  • What it would be by random chance: N/24, where N is the number of unique solutions the contestant can try in 45 seconds.
Which combinations were correct? (seasons 40-47)
  • 1234: 7 playings (8.05%)
  • 1243: 5 playings (5.75%)
  • 1324: 0 playings (0%)
  • 1342: 2 playings (2.30%)
  • 1423: 0 playings (0%)
  • 1432: 3 playings (3.45%)
  • 2134: 8 playings (9.20%)
  • 2143: 5 playings (5.75%)
  • 2314: 8 playings (9.20%)
  • 2341: 2 playings (2.30%)
  • 2413: 3 playings (3.45%)
  • 2431: 4 playings (4.60%)
  • 3124: 4 playings (4.60%)
  • 3142: 0 playings (0%)
  • 3214: 3 playings (3.45%)
  • 3241: 2 playings (2.30%)
  • 3412: 0 playings (0%)
  • 3421: 4 playings (4.60%)
  • 4123: 4 playings (4.60%)
  • 4132: 4 playings (4.60%)
  • 4213: 4 playings (4.60%)
  • 4231: 2 playings (2.30%)
  • 4312: 7 playings (8.05%)
  • 4321: 6 playings (6.90%)
The way to read the above table is that "1" means the cheapest prize, "2" means the second cheapest prize, "3" means the second most expensive prize, and "4" means the most expensive prize. So 2143 means the prize on the left was the second cheapest, the second prize from the left was the cheapest, the third prize was the most expensive, and the prize on the far right was the second most expensive.

Strategy

DO NOT LOOK AT THE AUDIENCE!!!

You simply do not have time. Your goal is to get 4 tries in the 45 seconds (no one has had more than 4 attempts since at least season 29.) Looking at the audience wastes valuable time. So this really comes down to a "know the prices" game--unfortunately, there's no mathematically clever way to guarantee a win in just 4 tries. Do try to keep track of your previous guesses--they can help you narrow down what prices go where. Also note that if you get two right, switch two, and you end up with none right, you know the correct answer: switch the two back that you just switched, and then switch the other two. For example, let's say you try 4132 and you get two right. You then switch the first two to get 1432 and have none right. Then you know the correct answer must be 4123--switch the first two back and the switch the last two.

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