Since most of you are going to vote reject anyway, I see no point in posting this, but I might as well do so.
So you decided to reject the mission because you didn’t trust some people, weren’t confident in your choices… I’m going to give you a solid reason not to vote approve:
For this reasoning, I made some assumptions:
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There are 9 players. I’m not a player cause I’m a buster, so I didn’t include myself and worked with 9 people, 4 of which are spies.
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In the last failed mission there was only 1 spy.
Now let’s proceed onto previous known facts and team composition:
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Members of the last mission have a 25% chance of being a spy.
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Non-members of the last mission have a 60% chance of being a spy.
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The team is formed by a last mission member and 3 non last mission members.
Let’s do a binomial treatment of the situation.
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People can be either spies or not spies.
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3 people have a 60% chance of being spies.
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1 person has a 25% chance of being a spy.
Since binomial functions need a constant probability of the studied situation, let’s just study the 3 people with 60% chance for now.
We want the chance of there being 1 or more spies in between those 3 people. That chance is a 93.6%, determined by Binomial (2;3;0,4), where Binomial is the function, 2 is the number of success of the probability studied, 3 is the number of times we run the experiment (3 people in this case), and 0.4 is now the probability of them not being a spy.
Now, for the case we want, we have both that 93.6% chance of there being at least 1 spy in that group of 3, and the 25% chance of the other guy being a spy. The combinations that give 1 or more spies are:
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Group of 3 has a spy - Other guy is a spy.
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Group of 3 has a spy - Other guy is not a spy.
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Group of 3 doesn’t have a spy - other guy is a spy.
If we add them all together, we end up with a final 95.2% chance of there being 1 or more spies in the group, so fuck no I’m not approving that team.