1. two random selections, probability

been having trouble when there are two random selections rather than one. heres the problem:

there is a survey of people that can name three movies but only 17% can name at lesat three justices in a court. Suppose two people are selected at random.

So what is the probability that both can name the three movies?

then what is the probability that both can name atleast three justices in court?

also, what is th eprobability that atlesat one of them can name at least three justices in court?

are these independent events??

thanks for any help.

2. Originally Posted by rcmango
been having trouble when there are two random selections rather than one. heres the problem:

there is a survey of people that can name three movies but only 17% can name at lesat three justices in a court. Suppose two people are selected at random.

So what is the probability that both can name the three movies? Mr F says: Let me get this straight. You're asking what is the probability that a person can name 3 movies when that person is chosen from a group that can name 3 movies ....

then what is the probability that both can name atleast three justices in court? Mr F says: (0.17)(0.17).

also, what is th eprobability that atlesat one of them can name at least three justices in court?

are these independent events?? Mr F says: Pr(at least 1) = 1 - Pr(none).

thanks for any help.
..

3. I believe thats how i understood the problem also.

thanks for setting up some variables, and i was looking for that equation where all of them equal one. Just couldn't find a similiar example. thanks for the help.

4. also i believe its important to mention that 59% of the population can name only 17% of the movies, so then what is the probablity that both can name the three movies?