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Answer the following and briefly explain your answers. i) Barack, Donald and 13 more people are standing in a circle. Donald and Barack do not

Answer the following and briefly explain your answers.

i) Barack, Donald and 13 more people are standing in a circle. Donald and Barack do not want to stand next to each other. What is the probability of this happening (that Donald and Barack do not stand next to each other)? Present your answer as a simplified fraction.

ii) There are 8 types of pasta available at a supermarket. 5 friends purchase at random one type of pasta each. What is the probability that at least 2 of them will purchase the same type of pasta?

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