The probability that Clarie passes chemistry is 0.75, and the probability that she passes history is 0.88. If passing one course is independent of passing the other, what is the probability that she does not pass chemistry and passes history?

*show how you got the answer please. this is a SAT subject math level 2 problem.

Question

The probability that Clarie passes chemistry is 0.75, and the probability that she passes history is 0.88. If passing one course is independent of passing the other, what is the probability that she does not pass chemistry and passes history? 

*show how you got the answer please. this is a SAT subject math level 2 problem.

anonymous · Answer

@amistre64 please help :)

amistre64 · Answer

well, when we have an "and" construction, it implies multiplication

notChem = 1-Chem
and Hist = Hist

what is notChem, times Hist?

amistre64 · Answer

notationwise thats$$P(A\cap B)=P(A)*P(B)$$

amistre64 · Answer

|dw:1366487041057:dw|

these multiplications should produce any combination of probability we seek