Deductions

Started by Govind-Ramagopal · started 2019-03-21 21:29 · last activity 2021-07-17 20:49 · 4 replies

Given the deductions made from the rules, I am still unclear as to how for question 17, its possible to deduce that lina and paulo play the same sport. I'm sure I missed something but I wanted to make sure.

Replies

  1. Jacob-R · 2019-03-22 04:24

    Hi @Govind-Ramagopal, Here is how I would set up this game: We have 6 people (KLMOPS) going in to one of two groups: G and T. The groups are ranked from highest to lowest with no ties. T: G: Rules 1 and 2 : O plays T, L plays G T: O G: L Rule 3: L is the best golf player. So we know nobody will come before her. Rule 4: If M plays G, then P and S play G, with M-P-S. Rule 5: If M plays T, then O-S-M plays tennis. Notice that these two rules give us two different boards depending on the possibilities for M, given that M has to play either G or T. Rule 6: If P plays tennis, then K-O-P plays tennis. Given these rules, let’s reduce some possibilities for our game board. Board 1: M plays G T: O G: L-M-P-S (With just K left, either playing T or G) Notice that rule 6 doesn’t apply for this game. Board 2: M plays T T: O-S-M G: L What about Rule 6? We get two possibilities: if P plays tennis, then we get Board 2(a) T: K-O-S/P-M/P G: L Or if P plays G, then Board 2(b) T: O-S-M G: L-P (With K as floater again.) And that’s it! So we only have 3 board possibilities. Now let’s look at this question. Additional rule that O is the highest ranking tennis player. Right away, we know we’re not in Board 2(a) land because K is higher than O. So what must be true? A: Nope — O and M play different sports in Board 1 and Board 2(b) even with the additional rule. B: Yes! We see that in our two board possibilities, P and L play the same sport. So this answer must be right! I hope that helps. Please let us know if you have further questions.
  2. Govind-Ramagopal · 2019-03-22 14:01

    thanks this is great!
  3. NULL · 2020-05-30 19:03

    this question was confusing and I am still unclear as to how that worked.
  4. Karen-Norris · 2021-07-17 20:49

    That's how I initially set up this game, but then when I watched the set-up explanation, I threw out my initial set-up. I think I would have been better off, using the three template method.

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