On any given day Gary is either cheerful $($C$)$ so$-$so $($S$),$ or glum $($G$)$ if he is cheerful today, then he will be C$,$ S or G tomorrow with respective probabilites $0\mathrm{.}5,0\mathrm{.}4$ and $0\mathrm{.}1$ if he is feeling so$-$so today, then he will be C

$0\mathrm{.}3$ If glum today, then he will be C$.$ & or G tomorrow with probabilities $0\mathrm{.}2,0\mathrm{.}3$ and $0\mathrm{.}5$ Gary is currently intly I cheerful mode What is the probability that he is not in a glum mood on any of the following three days?