A community for students.
Here's the question you clicked on:
 0 viewing
sasogeek
 2 years ago
Probability:
Two events A and B are such that \(\large P(A \) U \(\large B)=\frac{11}{15} \) and \(\large P(A)=\frac{1}{3} \) :
Find \(\large P(B) \) if the events A and B are
a. Mutually exclusive
b. Independent
sasogeek
 2 years ago
Probability: Two events A and B are such that \(\large P(A \) U \(\large B)=\frac{11}{15} \) and \(\large P(A)=\frac{1}{3} \) : Find \(\large P(B) \) if the events A and B are a. Mutually exclusive b. Independent

This Question is Closed

across
 2 years ago
Best ResponseYou've already chosen the best response.1Let \(A\) and \(B\) be mutually exclusive events. Then the identity\[P(A\cup B)=P(A)\cup P(B)P(A\cap B)\]becomes\[P(A\cup B)=P(A)\cup P(B).\] Similarly, let \(A\) and \(B\) be independent events. Then the identity\[P(A\cup B)=P(A)\cup P(B)P(A\cap B)\]becomes\[P(A\cup B)=P(A)\cup P(B)P(A)P(B).\] Finally, all you have to do is perform very simple algebra to find \(P(B)\).

sasogeek
 2 years ago
Best ResponseYou've already chosen the best response.0Thank you:) though I figured the answer just a couple of minutes after asking. I'm glad you answered though, someone **MAY** need it. :P
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.