Complete the following questions related to internet searches.

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If you have any difficulty with these solutions, please contact your teacher before continuing.

 

      1. A small web-hosting service specializes in websites involving outdoor activities.

 

  •  35 sites involve boats: 20 of these sites deal with waterskiing boats and 25 deal with power boats.
  • 21 sites involve waterskiing. These sites include all sites that deal with waterskiing boats, plus 3 sites that deal with scuba diving.

 

        1. How many sites from this service would appear in a search for "waterskiing boats" ? Explain.

 

        1. Why might a search for waterskiing and boats turn up a different result than a search for "waterskiing boats" ?

 

        1. If the only search word was waterskiing, how many results would not involve boats?

 

 

Popularized by movies such as A Beautiful Mind , game theory is the mathematical modelling of well-defined objects. In game theory, a game consists of a set of players, a set of moves available to those players, and the specific payoff for each combination of moves (an improved position or even a win).

Beyond what we call games in common language such as chess, checkers, and cards, game theory is used in the modelling of a wide variety of human behaviours such as political campaigns and trading behaviours in stock markets. Game theorists consider a person's actions to be like a move in a chess game and analyze the success of their actions based on whether their position has improved to make winning the game more likely. This game theory type of analysis of human behaviour has been used as far back as Plato.