SOLUTION: Hello Disease 1 and Disease 2 are prevalent among people in a certain population. It is assumed that 10% of the population will contract disease 1 sometime during their lifetime

Question 349808: Hello
Disease 1 and Disease 2 are prevalent among people in a certain population. It is assumed that 10% of the population will contract disease 1 sometime during their lifetime, 15% will contact disease 2 eventually,and 3% will contract both diseases.
a)Find the probability that a randomly chosen person from this population will contract at least one disease.
b)find the conditional probability that a randomly chosen person from this population will contact both diseases, given that he or she has contracted at least disease.

Thank You
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
a) Hint: P(Contract at least one disease) = P(Contract Disease 1) + P(Contract Disease 2) - P(Contract both diseases)

b) Hint: P(Contract both given having contracted at least one) = P(Contracting both) divided by P(Contract at least one disease)
RELATED QUESTIONS
Diseases A and B are prevalent among people in a certain population. It is assumed that... (answered by ikleyn)

A certain disease has an incidence rate of 0.6%. (This is percent of people in the... (answered by jorel1380)

The probability of catching a certain disease in a village is 2/5. If 6 persons are taken (answered by Boreal,ikleyn)

In a region 4% of the population is thought to have a certain disease. A standard... (answered by stanbon)

If a test is carried out and it identifies a disease in 95% of people who have it. It... (answered by jim_thompson5910)

A certain disease has an incidence rate of 0.7%. (This is percent of people in the... (answered by jorel1380)

Using Bayes Theorem: A certain disease occurs in % of the population. A test for the... (answered by Theo)

suppose it is known that 30% of a certain population are immune to some disease. if a... (answered by stanbon,ewatrrr)

A new medical test has been designed to detect the presence of the mysterious... (answered by Boreal)