Q2]... [10 points] Let

\\\\Omega ={s_(1),s_(2),s_(3),s_(4)}

and

P(s_(1))=(1)/(6),P(s_(2))=(1)/(5),P(s_(3))=(1)/(3)

and

P(s_(4))=(3)/(10)

. Define\

A_(n)={({s_(1),s_(2)} if n is odd ),({s_(2),s_(4)} if n is even ):}

\ Find

P(liminfA_(n))

.\ Find

P(\\\\lim_()supA_(n))

.\ Find

\\\\lim_()infP(A_(n))

.\ Find

\\\\lim_()supP(A_(n))

.

Q2]. [10 points ] Let ={s1,s2,s3,s4} and P(s1)=61,P(s2)=51,P(s3)=31 and P(s4)=103. Define An={{s1,s2}{s2,s4}ifnisoddifniseven 1. Find P(liminfAn). 2. Find P(limsupAn). 3. Find liminfP(An). 4. Find limsupP(An)