Interview Question: Horse Racing

Sample Question #243 (brainteaser)
Two princes are racing their horses. Each prince owns three horses, one in each "weight class." In every weight class, prince A’s horse outruns prince B’s, but a horse in a higher weight class always outruns a horse in a lower weight class. There will be three pairwise races, and each prince can enter any one of his horses into a race. The prince whose horses win 2 out of the 3 races gets the bragging rights.
How can prince B win?
[Adapted from a classic Chinese story]
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4 Responses to Interview Question: Horse Racing

  1. Brett says:

    Let the weight classes be, in descending order, 1, 2 and 3.
    In race 1, prince B races his class 3 horse against A’s class 1 horse. B loses.
    In race 2, prince B races his class 1 horse against A’s class 2 horse. B wins.
    In race 3, prince B races his class 2 horse against A’s class 3 horse. B wins.
    Pretty easy, but a lot of candidates I asked this question of couldn’t solve it!

  2. Unknown says:

    When I read the question I was confused re who chooses the horses. Perhaps a good idea would be to substitute "…any horse can be entered into a race…"
     "…prince B can choose which horses enter each race…"

  3. Brett says:

    Thanks. Edited. Is it clearer now?

  4. YING says:

    haha, I think every candidate from China can slove it

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