Question

At a highschool, 90% of the students take physics and 35% of the students take both physics and statistics. What is the probability that a student that is taking physics is also taking statistics

Answer 1

Answer:

38.89% probability that a student that is taking Physics is also taking Statistics

Step-by-step explanation:

Conditional probability formula:

Two events, A and B.

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

In which

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

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

P(A) is the probability of A happening.

In this problem, we have that:

A: physics

B: statistics.

90% of the students take Physics

This means that $P(A) = 0.9$

35% of the students take both Physics and Statistics.

This means that $P(A \cap B) = 0.35$

So

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.35}{0.90} = 0.3889$

38.89% probability that a student that is taking Physics is also taking Statistics