Utopia Island

The probability of disease A on the island of Utopia is 40%. The 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 answer:

p =  25 %

Step-by-step explanation:


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

Our linear equations calculator calculates it.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



Showing 2 comments:
Math student
What are p ,m and z stand for

Dr Math
m = count of males
z = count of females (woman) = set to 100 (maybe choosen any number)
x = number of people that have a disease A
p = probability of occurrence of A disease among women





Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a system of equations and looking for calculator system of linear equations?
Would you like to compute the count of combinations?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions: