in a town, 55% of people do sports and 40% paint. 45% of the people in this town are not interested in such activities at all. Since it is known that a person chosen randomly from the town does sports, what is the possibility of this person painting at the same time?
Solution :
Let us define some events as follows :
A : A randomly selected person does sports
B : A randomly selected person does paint
We have following informations :
P(A) = 55/100 = 0.55
P(B) = 40/100 = 0.40
45% of the people in this town are not interested in such activities at all.
We have to obtain P(B | A).
Let's take .
Hence, the required probability is 0.7273.
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