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In a carnival game, the chances of winning a big prize, a little prize, or no...

In a carnival game, the chances of winning a big prize, a little prize, or no prize are all equally likely. Suppose the game is played a total of 8 times.

a) Describe the sample space. How would you denote possible outcomes? How do you assign probabilities to each outcome?

b) What is the probability of winning exactly 2 big prizes and 3 little prizes?

c) How many different configurations of big, little, and no prizes are possible after the 8 games are played?

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