# What are the odds of winning the pokemon lottery?

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In the pokemon game owned by Nintendo, players are assigned a$$5$$-digit trainer ID ranging from $$00000$$ to $$65535$$ which is randomly generated the moment they start the game. As they progress through the game, players can participate in the pokemon lottery, in which a lottery ticket with a random $$5$$-digit number ranging from $$00000$$ to $$65535$$ is drawn. Players are then awarded prizes based on the number of digits on the lottery ticket which matches their trainer ID. The prizes awarded are as follows:

$$2$$ digits matched- PP Up

$$3$$ digits matched- PP Max

$$4$$ digits matched- Rare Candy

$$5$$ digits matched- Master Ball

What is the probability of winning a Master Ball or Rare Candy in a single draw?

Details and assumptions:

• You might want to use a calculator or Mathematical software to ease the computational process once you figure out the way to solve the problem.
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