Intersection of two events from a conditional probability, and a probability conditional on a complement
Intersection of two events from a conditional probability, and a probability conditional on a complement
6 marks
Two events \(C\) and \(D\) satisfy \(\mathrm{P}(C)=\frac25\), \(\mathrm{P}(D)=\frac14\) and \(\mathrm{P}(D\mid C)=\frac13\).
- Find \(\mathrm{P}(C\cap D)\).[2]
- Find the probability that \(C\) occurs, given that \(D\) does not occur.[4]
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:(a) \(\frac{2}{15}\) (b) \(\frac{16}{45}\)
Need help? Join our JC Math tuition classes.
Learn more