Jane surveyed the students at her school to find out if they like buns and/or noodles. The table below shows the results of the survey:
Like Buns
Do Not Like Buns
Total
Like Noodles
36
28
64
Do Not Like Noodles
56
38
94
Total
92
66
158
If a student likes buns, what is the probability that student also likes noodles? (1 point)
39.1%
56.3%
58.2%
69.6%
To find the probability that a student who likes buns also likes noodles, we need to use the given table.
The total number of students who like buns is 92, and the number of students who like buns and noodles is 36. Therefore, the probability is:
P(likes noodles | likes buns) = number of students who like buns and noodles / total number of students who like buns
P(likes noodles | likes buns) = 36 / 92
P(likes noodles | likes buns) ≈ 0.391
Therefore, the probability that a student who likes buns also likes noodles is approximately 39.1%.