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So why didn't they just ask the question " coffee, beer, milk shake or hot chocolate" then discuss where to get it from.

Okay so

Coffee 3 votes
Beer 2 votes
Milkshake 1 vote
Hot chocolate 2 votes

The majority of the votes cast were by people that didn't want coffee, but coffee still wins.

Fair?
 
Okay so

Coffee 3 votes
Beer 2 votes
Milkshake 1 vote
Hot chocolate 2 votes

The majority of the votes cast were by people that didn't want coffee, but coffee still wins.

Fair?

yes, because coffee gets the larger share of the vote
 
Okay so

Coffee 3 votes
Beer 2 votes
Milkshake 1 vote
Hot chocolate 2 votes

The majority of the votes cast were by people that didn't want coffee, but coffee still wins.

Fair?
So if the milkshake voter put hot chocolate as second choice, and the beer voters put milkshake second then hot chocolate third, but the coffee voters only picked coffee, hot chocolate wins despite only getting two 'first round' votes and one second choice vote?

Much fairer.
 
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So if the milkshake voter put hot chocolate as second choice, and the beer voters put milkshake second then hot chocolate third, but the coffee voters only picked coffee, hot chocolate wins despite only getting two 'first round' votes and one second choice vote?

Much fairer.

Your example only works by ensuring that only the coffee voters give a single preference.

The point is that FPTP is only a fair and representative system when there are only two possible candidates.
 
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