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:

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

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

3 0

3 years ago

Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79

Ksju [112]

Answer:d

Sdtep-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!

UNO [17]

Remember that a^x = b can be rewritten as logₐ b = x

So 10^x = 97 is just:

log₁₀97 = x

or simply

x = log 97

3 0

4 years ago

5+(-4)+12.65i need help with this stuff

torisob [31]

5+(-4)+12.65=

5-4+12.65=

1+12.65=

13.65 is the answer

6 0

3 years ago