A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
Statistics  Bayes theorem.
Confused with the formula / how to apply it in problem solving.
 2 years ago
Statistics  Bayes theorem. Confused with the formula / how to apply it in problem solving.

This Question is Closed

twitter
 2 years ago
Best ResponseYou've already chosen the best response.0Team A has played all its matches in the home away season and qualification for the finals depends on the results of three remaining matches. Teams B, C and D each have one match against three other teams and team A will make the finals if team B loses its last match and either of teams C or D also lose their last match. Sport analysis have estimated that: • Team B will lose with probability 0.8 • Team C will lose with probability 0.3 and • Team D will lose with probability 0.6 The result of any of these matches is independent of the other teams’ results and drawn matches are not possible. Based on these data, calculate the probability that team A will make the finals. Show all working.

geoffb
 2 years ago
Best ResponseYou've already chosen the best response.1Hope these will help: http://www.youtube.com/watch?v=XR1zovKxilw http://4.bp.blogspot.com/_wuSqJG5bIKE/TEDLTaScwI/AAAAAAAAAjk/YIZKxuJVjxs/s1600/Bayes+Theorem.088.png

twitter
 2 years ago
Best ResponseYou've already chosen the best response.0Thinking about it this is not at all a Bayes theorem problem. I think I can just solve the problem with the following: P(A)=P(B∩(C∪D)) Still, l am confused with the "and (∩)" and "or (∪)" here I'd like a confirmation please. Is ∩ means multiply the probabilities whereas ∪ means add the probabilities minus the multiplication of probabilities?

geoffb
 2 years ago
Best ResponseYou've already chosen the best response.1\(\cap\) (AND; probability of events intersection) is the probability that A occurs multiplied by the probability that B occurs, given that A has occurred. \[P ( A \cap B) = P(A) \times P(B \text{ }  \text{ } A)\] \(\cup\) (OR; probability of events union) is the probability that A occurs plus the probability that B occurs, minus the probability that both A and B occur. \[P ( A \cup B) = P(A) + P(B) + P ( A \cap B)\]
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.