SOA/CAS P question

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kangta27

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An auto insurance company has 10000 policyholders. Each policyholder is classified as
1. young or old 2. male or female 3. married or single

Of these policyholders, 3000 are young, 4600 are male, and 7000 are married. The policyholders can also be classified as 1320 young males, 3010 married males, and 1400 young married persons. Finally, 600 of the policyholders are young married males. How many of the company's policyholders are young, female, and single?
 
kangta27 said:
An auto insurance company has 10000 policyholders. Each policyholder is classified as
1. young or old 2. male or female 3. married or single

Of these policyholders, 3000 are young, 4600 are male, and 7000 are married. The policyholders can also be classified as 1320 young males, 3010 married males, and 1400 young married persons. Finally, 600 of the policyholders are young married males. How many of the company's policyholders are young, female, and single?
Click to expand...

Please share your work with us, indicating exactly where you are stuck - so that we may know where to begin to help you
 
I actually don't even know where to start. All I got is: if there are 3000 young people, i deducted there should be 7000 old people. 4600 males means there are 5400 women. 7000 married means there are 3000 singles. I'm having a hard time seeing the intersections for the females and don't see what type of drawing, or equation, i should be creating.
 
kangta27 said:
An auto insurance company has 10000 policyholders. Each policyholder is classified as
1. young or old 2. male or female 3. married or single

Of these policyholders, 3000 are young, 4600 are male, and 7000 are married. The policyholders can also be classified as 1320 young males, 3010 married males, and 1400 young married persons. Finally, 600 of the policyholders are young married males. How many of the company's policyholders are young, female, and single?
Click to expand...


3000 are young + 1400 young married persons → 1600 young single

1320 young males + 600 young married males → 720 young single males


Now continue.....
 
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