Question

Suppose the probability of being in honors math is 0.30 and the probability of being in honors math and honors science is 0.20. What is the probability of being in honors science if you are in honors math

Answer 1

Answer:

20% probability of being in honors science if you are in honors math

Step-by-step explanation:

I am going to say that we have two events.

Event A: Being in honors in math. So P(A) = 0.3.

Event B: Being in honors in science. So P(B) = 0.2.

Since they are independent events, we can apply the conditional probability formula, which is:

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

In which

P(B|A) is the probabilitty of event B happening given that A happened. We want to find this.

$P(A \cap B)$ is the probability of both events happening.

Since they are independent

$P(A \cap B) = P(A)P(B) = 0.3*0.2 = 0.06$

So

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.3} = 0.2$

20% probability of being in honors science if you are in honors math