In a recent survey of residents in the Degobah system 10 of

In a recent survey of residents in the Degobah system, 10% of the families have met a Wookie and 52% have met a Bantha. Of the homes that have met a Wookie, 91% also have met a Bantha. Given that a home has met a Bantha, what is the probability that they have also met a Wookie?

Solution

P( Wookie) = 0.10

P(Bantha) = 0.52

P( Wookie & Bantha) = 91% of (0.10) = 0.091

P( It is Wookie given that Bantha) = P( Wookie & Bantha)/P(Bantha) = 0.091/0.52 =0.175