SOLUTION: 2.42 ) Four candidates are seeking a vacancy on a school board . If A is twice as likely to be elected a B, and B and C are given about the same chance of being elected , while C i

Algebra ->  Probability-and-statistics -> SOLUTION: 2.42 ) Four candidates are seeking a vacancy on a school board . If A is twice as likely to be elected a B, and B and C are given about the same chance of being elected , while C i      Log On


   



Question 360119: 2.42 ) Four candidates are seeking a vacancy on a school board . If A is twice as likely to be elected a B, and B and C are given about the same chance of being elected , while C is twice as likely to be elected as D , what are the probability that :
a) C will win


b) A will not win ?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Four candidates are seeking a vacancy on a school board . If A is twice as likely to be elected a B, and B and C are given about the same chance of being elected , while C is twice as likely to be elected as D , what are the probability that :
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D = D
C = 2D
B = 2D
A = 4D
----
D + 2D + 2D + 4D = 1
9D = 1
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D = 1/9
C = 2/9
B = 2/9
A = 4/9

a) C will win:::: 2/9

b) A will not win:::: 5/9
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Cheers,
Stan H.