1. The problem statement, all variables and given/known data
There are two types of cooking oil, mono- and polyunsaturated. In a supermarket, 10.526% of the oil sold is mono-, of this 3.684% is canola oil and 6.842% is corn oil. The remaining 89.48% of the oil sold is poly-, of this 48.95% is canola oil and 40.53% is corn oil.
Given that the oil chosen is poly-, what is the probability that it is canola oil?
2. Relevant equations
P(A|B) = P(A∩B) / P(B)
3. The attempt at a solution
P(A∩B) means probability of A and B occurring at the same time but I don't think they can occur at the same time? Does this mean my relevant equation is false?
Intuitively I feel like the answer is just P(canola|poly) / [(P(canola|poly) + P(corn|poly)]. So (48.95)/(48.95+40.53).
There are two types of cooking oil, mono- and polyunsaturated. In a supermarket, 10.526% of the oil sold is mono-, of this 3.684% is canola oil and 6.842% is corn oil. The remaining 89.48% of the oil sold is poly-, of this 48.95% is canola oil and 40.53% is corn oil.
Given that the oil chosen is poly-, what is the probability that it is canola oil?
2. Relevant equations
P(A|B) = P(A∩B) / P(B)
3. The attempt at a solution
P(A∩B) means probability of A and B occurring at the same time but I don't think they can occur at the same time? Does this mean my relevant equation is false?
Intuitively I feel like the answer is just P(canola|poly) / [(P(canola|poly) + P(corn|poly)]. So (48.95)/(48.95+40.53).
0 commentaires:
Enregistrer un commentaire