In: Statistics and Probability
Problem 5 In the 1998 video-games Pokémon Red Version and Pokémon Blue Version, the player was able to create their own party of one to six total “pocket monsters”. In these games, there were 151 species of Pokémon available for capture, and it was possible to fill a party with multiple monsters of the same species. Determine the following:
a) Ignoring order, how many combinations of party Pokémon were possible in these games?
b) If a Pokémon party were to be made up of monsters selected completely at random, how likely is it that the entire team would be made up of a single species of Pokémon?
c) If a Pokémon party were to be made up of monsters selected completely at random, how likely is it that there would be no Pokémon of the same species in the party?