Respuesta :
Using conditional probability, it is found that there is a 0.5714 = 57.14% probability that the student speaks ilocano given that he speaks kankanaey.
What is Conditional Probability?
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which:
- P(B|A) is the probability of event B happening, given that A happened.
- [tex]P(A \cap B)[/tex] is the probability of both A and B happening.
- P(A) is the probability of A happening.
In this problem, the events are given as follows:
- Event A: Student speaks kankanaey.
- Event B: Student speaks ilocano.
Hence, the parameters are given as follows:
[tex]P(A \cap B) = 0.4, P(A) = 0.7[/tex]
Then, the probability that the student speaks ilocano given that he speaks kankanaey is given by:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714[/tex]
More can be learned about conditional probability at https://brainly.com/question/14398287
