In the frog Markov chain, what js the probability distribution in the next period if the current distribution is

$($a$)$ p$3=1,$allotherPi$=$ O$?$

$($b$)$p$2=\mathrm{.}5,$p$3=\mathrm{.}5,$allotherP;$=$O$?$

$($c$)$ p$2=\mathrm{.}25,$p$3=\mathrm{.}25,$p$4=\mathrm{.}5,$allotherPi$=$O$?$

$($d$)$ P$1=\mathrm{.}1,$ P$2=\mathrm{.}2,$ p$3=\mathrm{.}2,$ P$4=\mathrm{.}2,$ Ps $=\mathrm{.}2,$ P$6=\mathrm{.}1?$