The probability that a student takes a history class and a sociology class is 0.051. The probability that a student takes a history class is 0.32. What is the probability that a student takes a sociology class given that the student is taking a history class? (2 points)

0.051

0.159

0.269

0.32

Question

The probability that a student takes a history class and a sociology class is 0.051. The probability that a student takes a history class is 0.32. What is the probability that a student takes a sociology class given that the student is taking a history class? (2 points)
		
0.051
		
0.159
		
0.269
		
0.32

amistre64 · Answer

did you draw a venn?  those help to organize stuff

amistre64 · Answer

or, just use the formula :$$P(A|B)=\frac{P(A\cap B)}{P(A)}$$

anonymous · Answer

yea we can. but the class is online and i dont get it.

amistre64 · Answer

ugh ...   |B  means we divide by P(B) so thats a typo

amistre64 · Answer

|dw:1396963852693:dw|

given the set B, the amount of A that is in B is equal to the set AnB

probability is defined as success/total

success of A in B is AnB
total of B is just        B