Jo runs everyday Jo has discovered that if she sleeps well the probability that she will run the next day is 0.8 however if Joseph sleeps badly the probability that she will run well falls to 0.1 Joe

Jo runs everyday Jo has discovered that if she sleeps well the probability that she will run the next day is 0.8 however if Joseph sleeps badly the probability that she will run well falls to 0.1 Joe is always twice as likely to sleep well as sleep badly and whether Jo sleeps well on any particular night is independent of what happened the night before what is the probability that Joseph sleeps well for tonight and runs well tomorrow