So I have a problem that says four fair dice are rolled. So that tells me 64 sample space.
X is the number of fives observed and Y is the number of sixes observed.
I created a table
I understand the method of calculating the PMF, I'm having counting issues, calculating the probability for each part. I believe the zeros are placed correctly? If 4 fives are observed you can't have more than 0 sixes observed and vice versa.
For example, how do I calculate the probability of 2 fives observed and 2 sixes observed? Please help, thanks.
X is the number of fives observed and Y is the number of sixes observed.
I created a table
PX,Y(x,y) | y=0 | y=1 | y=2 | y=3 | y=4 | PX(x) |
x=0 | ||||||
x=1 | 0 | |||||
x=2 | 0 | 0 | ||||
x=3 | 0 | 0 | 0 | |||
x=4 | 0 | 0 | 0 | 0 | ||
PY(y) |
I understand the method of calculating the PMF, I'm having counting issues, calculating the probability for each part. I believe the zeros are placed correctly? If 4 fives are observed you can't have more than 0 sixes observed and vice versa.
For example, how do I calculate the probability of 2 fives observed and 2 sixes observed? Please help, thanks.