Using conditional probability, it is found that there is a 0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.
Conditional Probability
In which
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem:
- Event A: Did not get into their first-choice college.
- Event B: Took AP chemistry.
According to the chain given, the percentages associated with not getting into their first-choice college are:
- 0.1375(chemistry).
- 0.1575(physics).
- 0.24(Env Sci).
- 0.07(Biology).
Hence:
The probability of both not getting into their first-choice college and taking chemistry is 0.1375, hence
Then, the conditional probability is:
0.2273 = 22.73% probability that a student took AP Chemistry, given they did not get into their first-choice college.
To learn more about conditional probability, you can take a look at brainly.com/question/14398287