The probability that a dessert sold at a certain cafe contains chocolate is 74%. The probability that a dessert contains both chocolate and nuts is 24%. Find the probability that a randomly chosen chocolate dessert contains nuts.

Question

anonymous · Answer

isn't it 24/98?

hoblos · Answer

$$P(A|B) = \frac{ P(A∩B) }{ P(B) }$$

anonymous · Answer

i'm kind of confused. how would you set it up?

hoblos · Answer

you need probability that a randomly chosen chocolate dessert contains nuts, this means you need probability that a randomly chosen contains nuts given that it contains chocolate

hoblos · Answer

A: the dessert contain nuts
B: the dessert contain chocolate

anonymous · Answer

|dw:1396813491299:dw|

hoblos · Answer

probability that a dessert contains both chocolate and nuts  is P(A and B)
probability that a dessert  contains chocolate is P(B)

hoblos · Answer

now use the formula to get  P(A|B)