in a subdivison, 67% of the homes have detatched garages, 32% have a patio & 13% have both. What is the probability that a house has a patio if u know that it has a detached garage?
out of 100 houses
67-13 = 54 have only garage
13 have garage and patio
32 -13 = 19 have only patio
by the way 100 -54 -13 -19 = 14 have neither
That 13 in the intersection is our solution with both and that is 13 out of the 67 who have garages.
so 13/67