Question 339739
3. The probability that a person picked at random is over 65 years old is 0.12. If two people are picked at random, find the probability that:

Let X=event that a person is over 65  
Let Y=event that another person is over 65
Let notX=event that person is under 65
Let notY= event that another person is under 65 
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a. they are both over 65 
P(X and Y)=P(X)*P(Y)={{{0.12^2=0.144}}}
assuming X nd Y are independent
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b. neither is over 65 
P(notX and notY)=P(notX)*P(notY)={{{(1-0.12)^2=0.774}}}
assuming notX and notY are independent
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c. at least one is over 65
=1-P(neither is over 65)=1-0.774=0.226