Joint Probability

#1
Hi All,
I'm currently in a grad course with a nice complement of stats which we have been tasked to learn ourselves. Having some difficulties understanding joint probabilities. Specifically, I have a problem where we have 3 possible outcomes with probabilities p1=0.4, p2=0.1 and p3=0.5. If we run 4 trials and let X and Y be the number of trials that result in p1 or p2.

what kind of PD can I use to represent this problem? I need to know if these are independant, the covariance and correlation. any direction would be greatly appreciated.:)

thanks for your time!
 

Masteras

TS Contributor
#2
This part is not very clear. Can you add some more inforamtion?

Specifically, I have a problem where we have 3 possible outcomes with probabilities p1=0.4, p2=0.1 and p3=0.5. If we run 4 trials and let X and Y be the number of trials that result in p1 or p2.