# Utopia Island

A probability of disease A on the island of Utopia is 40%. A probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women on Utopia Island?

Find the result in percent.

Correct result:

p =  25 %

#### Solution:

z = 100
x = 0.40 • (m+z)
m = 0.60 • (m+z)
0.50 • m + p = x

z = 100
0.4m-x+0.4z = 0
0.4m-0.6z = 0
0.5m+p-x = 0

m = 150
p = 25
x = 100
z = 100

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