Using conditional probability, it is found that there is a 0.12 = 12% probability that a student gets an A in Algebra 2 and does all their assignments.
<h3>What is Conditional Probability?</h3>Conditional probability is the probability of one event happening, considering a <u>previous event</u>. The formula is:
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, the events are:
- Event A: Student gets an A in Algebra 2.
- Event B: Student completes all the assignments in Algebra 2.
The probabilities are:
- The probability that a student gets an A in Algebra 2 is 0.2, hence
.
- The probability that a student completes all the assignments in a Algebra 2 is 0.5, hence
.
- The probability that a student does all their assignments given that they get an A in Algebra 2 is 0.6, hence
.
We want to find , hence:
0.12 = 12% probability that a student gets an A in Algebra 2 and does all their assignments.
You can learn more about conditional probability at brainly.com/question/14398287