SOLUTION: Suppose that in the US the number of type O blood and type A blood are approximately the same. The number of people with type B is 1/10 of those with type A and twice the number w

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Question 261119: Suppose that in the US the number of type O blood and type A blood are approximately the same. The
number of people with type B is 1/10 of those with type A and twice the number with type AB, Find the probablity that a randomly selcted individual is of type AB

Answer by stanbon(75887) About Me  (Show Source):
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Suppose that in the US the number of type O blood and type A blood are approximately the same.
The number of people with type B is 1/10 of those with type A and twice the number with type AB,
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Find the probablity that a randomly selected individual is of type AB
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Equations:
O = A
B = (1/10)A
B = 2[ab]
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Rearrange:
ab = (1/2)B
ab = (1/2)(1/10)A = (1/20)A
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So,
B = 2(ab)
A = O = 20(ab)
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If ab = 1 then A = O = 20, and B = 2
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Total = 20 + 20 + 2 + 1 = 43
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P(ab) = 1/43
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