Question

The probability that a student gets an A in Algebra 2 is 0.2. The probability that a student completes all the assignments in a

Answer 1

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.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

• P(B|A) is the probability of event B happening, given that A happened.

• $P(A \cap B)$ 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 $P(A) = 0.2$.

• The probability that a student completes all the assignments in a Algebra 2 is 0.5, hence $P(B) = 0.5$.

• The probability that a student does all their assignments given that they get an A in Algebra 2 is 0.6, hence $P(B|A) = 0.6$.

We want to find $P(A \cap B)$, hence:

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

$0.6 = \frac{P(A \cap B)}{0.2}$

$P(A \cap B) = 0.6(0.2) = 0.12$

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