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May 30th, 2018, 04:07 PM  #1 
Newbie Joined: May 2018 From: south carolina Posts: 1 Thanks: 0  Homework help
At a local college, 369 of the male students are smokers and 531 are nonsmokers. Of the female students, 178 are smokers and 712 are nonsmokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers? Do not round your answer

May 30th, 2018, 04:25 PM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,801 Thanks: 636 Math Focus: Yet to find out. 
Care to share your working?

May 30th, 2018, 04:28 PM  #3 
Senior Member Joined: Sep 2015 From: USA Posts: 2,430 Thanks: 1315 
Because they are two separate populations and we are told we sample one of each the event of a male being a smoker or not is independent of that of a female being a smoker or not. Thus $P[\text{male and female samples are both smokers}]=P[\text{male sample is a smoker}]P[\text{female sample is a smoker}]$ You should be able to compute the right hand probabilities easy enough. 
May 31st, 2018, 03:05 AM  #4  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902  Quote:
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