I roll a fair die repeatedly until a number other than 1 and 3 is observed. I call the observed number Y a. What is Pr{Ygt;4}?

I roll a fair die repeatedly until a number other than 1 and 3 is observed. I call the observed number Y 

a.  What is Pr{Y>4}?

b. Find E[Y]. 

c.  If N is the total number of times that I roll the die, find P(N=k), for k=1,2,3,.... 

d. Find ܲP(y<= 3 |y>1)