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Answer 1 · 2016-08-20T18:06:12

The Reqd. Prob. $= 0.5$ $=0.5$ .

Let $H =$ $H=$ the Event that a major hurricane hits the city,

$F =$ $F=$ the Event that there is flood in the city.

Then, $H \cap F =$ $HnnF=$ the Event that a major hurricane hits the city and

flooding is there in the city.

By the available data, we have,

$P (H) = 0.4, P (F) = 0.3, &, P (H \cap F) = 0.2$ $P(H)=0.4, P(F)=0.3, &, P(HnnF)=0.2$ .

The Reqd. Prob. $=P(F/H)=(P(FnnH))/(P(H))..........[Defn.]$

$=0.2/0.4=0.5$ .