8. On any given day Buffy is either cheerful (c), so-so (s), or gloomy (g). If he is cheerful today then he will be

c, s, or g tomorrow with respective probabili-

ties.7, 2, 1. If he is so-so today then he will be

c, s, or g tomorrow with respective probabilities 4, 3, .3. If he is gloomy today then Buffy will be

c, s, or g tomorrow with probabilities 2, 4, 4. What proportion of time is Buffy cheerful?