hi,

i have been solving this question and my result is different than the results i have been given to compare to. can u please tell me if i am correct?

two people flip coins X,Y count their heads respectively.

T=max(x,y) Z=min(x,y)

if it is given that t=2. what is the best forecast for z.

i created a table of mutual probability of t and z.

now i think i should find

e(z|t=2)

i got e(z|t=2)=0+1*0.25*16/7+2/16*16/7=6/7

am i correct or is the answer 20/23

thanks for your help