An online poll asked people how likely they were to see a new movie that was coming out in the summer.There were 1245 responses.Here's how they responded:
Let's call someone who responded that they would definitely or probably see it a "likely viewer" and the other two categories,"unlikely viewer." If we select two people at random from this sample of 1245 people,what is the probability that neither is a likely viewer?

Question

An online poll asked people how likely they were to see a new movie that was coming out in the summer.There were 1245 responses.Here's how they responded: 
Let's call someone who responded that they would definitely or probably see it a "likely viewer" and the other two categories,"unlikely viewer." If we select two people at random from this sample of 1245 people,what is the probability that neither is a likely viewer?

Quizplus · Accepted Answer

The "unlikely viewer" category includes both those who would probably not see the movie and those who definitely would not see it. Adding those two categories gives us 580+427 = 1007 unlikely viewers. 
So the probability that the first person selected is an unlikely viewer is 1007/1245. 
After one person is selected, there are now 1244 people left, of which 1006 are unlikely viewers. 
So the probability that the second person selected is also an unlikely viewer is 1006/1244. 
To find the probability that both selected are unlikely viewers, we multiply these probabilities together: 
(1007/1245) x (1006/1244) = 0.347 (rounded to three decimal places). 
Therefore, the correct answer is option C.

An Online Poll Asked People How Likely They Were to See