The ZZZ corporation has been the subject of takeover rumors for several

months. The takeover is far more likely to occur if the economy rebounds

next year. ZZZ's chief economist estimates that the likelihood of strong

growth next year is 5%, the likelihood of slow growth is 35% and the

likelihood of negative growth is 60%. The likelihood of a takeover during a

period of strong growth is estimated to be 40%; during a period of slow

growth, this falls to 20%. The likelihood of a takeover during a period of

negative growth is assumed to be 5%. If the takeover does take place, what

is the likelihood that the economy is experiencing strong growth?