# Answer on Statistics and Probability Question for Nancy Petro

Question #3937

I have a probability question: There are 6 positions available for a council member and there are 13 candidates. About 300 people vote. I know also know there are 4 great candidates, 3 are not strong and 6 are questionable. My question is should I only vote for 4 good candidates or vote for 6 including 2 questionable ones. This is if I only want my four candidates to win.

Expert's answer

So we have 4 great candidates& lets mark them s

3 not strong lets mark them m

6 questionable lets mark them l

We have that P(s)>P(m)>P(l)- probabilities to be choosen by random person

300 people vote- 300*4*P(s)+300*3*P(m)+300*6*P(l)=1

“question is should I only vote for 4 good candidates or vote for 6 including 2 questionable ones.”

This depends on probabilities P(s), P(m), P(l).

If& 4*P(s)>3P(m)+3P(l) then you shold vote for 4 good candidates

Another way- vote for 6 including 2 questionable ones

3 not strong lets mark them m

6 questionable lets mark them l

We have that P(s)>P(m)>P(l)- probabilities to be choosen by random person

300 people vote- 300*4*P(s)+300*3*P(m)+300*6*P(l)=1

“question is should I only vote for 4 good candidates or vote for 6 including 2 questionable ones.”

This depends on probabilities P(s), P(m), P(l).

If& 4*P(s)>3P(m)+3P(l) then you shold vote for 4 good candidates

Another way- vote for 6 including 2 questionable ones

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