227k views
5 votes
At a high school, the probability that a student takes a science class and a history class is 0.38. The probability that a student takes a science class is 0.78, and the probability that the student takes a history class is 0.60. What is the probability (rounded to the nearest hundredth) that a student takes a history class given that the student is taking a science class?

User Thom
by
8.7k points

1 Answer

5 votes
By definition of conditional probability,


\mathbb P(\text{history}\mid\text{science})=\frac{\mathbb P(\text{history AND science})}{\mathbb P(\text{science})}=(0.38)/(0.78)\approx0.49
User Efremidze
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories