A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Probability: Joe is a fool with probability 0.6, a thief with probability 0.7, and neither with probability 0.25. Determine the probability that he is a fool or a thief but not both.
anonymous
 3 years ago
Probability: Joe is a fool with probability 0.6, a thief with probability 0.7, and neither with probability 0.25. Determine the probability that he is a fool or a thief but not both.

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0What is probability of Joe being not a thief. Similarly what is probability of not being a fool?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0My answer is 0.2, since the probability of Joe being a thief, a fool, or both a thief and a fool is 10.25 = 0.75, and 0.75 = P(Joe is thief) + P(Joe is fool)  P(Joe is thief and fool) = 0.6 + 0.7  x. x = 0.55, and (0.6 + 0.7)  0.55 = 0.2, which is the probability of Joe being a thief or a fool but not both. Please confirm?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0wait, I meant 0.75  0.55, not 0.6 + 0.7  0.55

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0because 0.75 is already thief, fool, or both, and 0.55 is only both, so if i subtract 0.55 from 0.75, I get thief OR fool, right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Ok first off, when we 'add' probabilities so like P(THIS and THAT) we multiply P(THIS) and P(THAT) The way I would do it is get P(fool but not thief) + P(thief but not fool)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Sorry, for not being proper, but how would I get P(fool but not thief) and P(thief but not fool) if the event that Joe is a thief and Joe is a fool overlap?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0OK to get P(fool not thief) get P(fool) = 0.6, P(not thief) = 1 P(thief) = 0.3 now multiply the two to get P(fool not thief). Do similarly for the other one. Then just add the two probabilities. Sorry but I have to go now.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0It's okay, thank you for your help.
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.