A football team is completely
dependent on their key players being healthy for an important
match.
The betting companies estimate that
the probability of winning the match is 80% if players are fully
healthy. 60% if he is in playable condition and 40% if he can not
be in the match at all.
The team's doctor assesses the chance
that he is fully healthy to 40%, the chance that he is in playable
condition to 30% and the risk that he can not be in the match at
all is assessed as 30%.
What is the probability that they will
win the match?
Answer in decimal form, with two
decimals.