Kim surveyed the students at her school to find out if they like hotdogs and/or burgers. The table below shows the results of the survey:
Like Hotdogs
Do Not Like Hotdogs
Total
Like Burgers
32
49
81
Do Not Like Burgers
44
25
69
Total
76
74
150
If a student likes hotdogs, what is the probability that student also likes burgers? (1 point)
93.8%
50.7%
42.1%
39.5%
To find the probability of a student liking burgers given that they like hotdogs, we use the formula for conditional probability:
P(Burgers | Hotdogs) = P(Burgers and Hotdogs) / P(Hotdogs)
From the table, we see that there are 32 students who like both hotdogs and burgers. And there are a total of 76 students who like hotdogs.
So,
P(Burgers | Hotdogs) = 32 / 76
P(Burgers | Hotdogs) = 0.421
Therefore, the probability that a student who likes hotdogs also likes burgers is 42.1%