Question

At school, the probability that a student takes Algebra 2 is 8%. The probability that a student who is taking Algebra 2 will also take Chemistry is 17%. What is the probability that a random student will be taking both Algebra 2 and Chemistry?

A) 0.0136

B) 0.068

C) 0.034

D) 0.024

Answer 1

To find the probability of a student taking both Algebra 2 and Chemistry, we multiply the probability of taking Algebra 2 (0.08) by the probability of taking Chemistry given that the student is taking Algebra 2 (0.17), resulting in 0.0136.

Step-by-step explanation:

The question asks for the probability that a random student is taking both Algebra 2 and Chemistry. To calculate this, we use the multiplication rule for independent events. The probability of a student taking Algebra 2 is 8%, or 0.08. The probability that a student taking Algebra 2 also takes Chemistry is 17%, or 0.17. We multiply these probabilities to find the probability of a student taking both courses.

The calculation is as follows: 0.08 (probability of taking Algebra 2) × 0.17 (probability of taking Chemistry given the student is taking Algebra 2) = 0.0136.

Therefore, the probability that a random student is taking both Algebra 2 and Chemistry is 0.0136, which corresponds to option A.