Ella surveyed the students at her school to find out if they like math and/or science. The table below shows the results of the survey:

Like Math Do Not Like Math Total
Like Science 41 22 63
Do Not Like Science 7 31 38
Total 48 53 101

Question

Ella surveyed the students at her school to find out if they like math and/or science. The table below shows the results of the survey:

Like Math	Do Not Like Math	Total
Like Science	                41	                       22	                    63
Do Not Like Science         7	                       31	                     38
Total	                        48	                       53	                      101

kpop4life123 · Answer

If a student likes science, what is the probability that student does not like math? (4 points) 

14.5% 
18.4% 
34.9% 
65.1%

mathmale · Answer

Tables of this kind are frequently seen as descriptors of "conditional probability."

This question is one in "conditional probability," because you are told FIRST that a student chosen at random from a group of students likes science, and THEN you are asked to calculate the probability that that same student does NOT like math.

All of the info you need to answer this question in conditional probability is contained in the given table.

mathmale · Answer

1.  Refer to the table.  How many students "like science?"
2.  Of these (ONLY), how many do not lilke math?
3.  Find the ratio of your result for #2 to your result for #1.