Question

There are three colored coins in a hat – one gold coin, one silver coin and one copper coin. You will randomly select coins from the hat, one at a time without replacement, until the gold coin is selected, and then you will stop. The outcome of interest is the sequence of colors that are selected during this process. How many outcomes are contained in the appropriate sample space?

Answer 1

Solution:-

Given

There are three colored coins in a hat – one gold coin, one silver coin and one copper coin.

Select one coin randomly without replacement, until gold coin is selected

possible outcomes:-

first is gold coins (G)

first silver and next gold coin (S, G)

first copper & next gold coin (C, G)

first silver, second copper & third gold (S, C, G)

first copper, second & third gold (C, S, G)

Total possible outcomes = 5

sample space = n(s) = 5

S = {(G), (S, G), (C, G), (S, C, G), (C, S, G)}

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