Probability exactly one event occurs?

  • Thread starter Thread starter bcahmel
  • Start date Start date
  • Tags Tags
    Probability
Click For Summary

Homework Help Overview

The problem involves calculating the probability of eating exactly one of two desserts, cake and pie, given their individual probabilities and the probability of eating both. The subject area is probability theory.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of a Venn diagram to visualize the problem and question how to correctly identify the probability of eating exactly one dessert. There is uncertainty about the initial calculations and interpretations of the probabilities.

Discussion Status

Some participants provide guidance on interpreting the Venn diagram and clarify that the original poster's initial answer may be correct. There is an ongoing exploration of the reasoning behind the calculations.

Contextual Notes

The original poster expresses difficulty with statistical concepts, indicating a potential barrier to understanding the problem fully. There is no explicit consensus on the final approach to the solution.

bcahmel
Messages
24
Reaction score
0
Probability exactly one event occurs?

Homework Statement



0.42 chance eat cake, 0.56 chance eat pie. 0.16 chance eat both.Find probability that you eat exactly one of these two desserts.

Homework Equations


? I made a venn diagram


The Attempt at a Solution


I know how to find the probability of at least 1, but I don't understand how to find exactly one. At first I thought it would just be 0.40 + 0.26 =0.66 but I don't think this is right? So basically I just added probability eat cake + probability eat pie but I think this results in the probability or eating one or the other. So help? Please?
 
Physics news on Phys.org


Did you label your Venn diagram? The event "exactly 1" has probability found in the portions of the circles that are not in the intersection.
 


Your answer's right. Why do you think it's wrong?
 


thanks! I don't know why I think its wrong- stat isn't really common sense for me unfortunately :(
 


Just to clarify, your first answer is correct. I think you did something different on your second attempt.
 

Similar threads

Find Probability of Exactly One Event Occurring
  • · Replies 12 ·
Replies
12
Views
4K
How Do You Calculate the Probability of No Events Occurring?
  • · Replies 3 ·
Replies
3
Views
3K
Probability Question: At Least One of A, B & C Occurring
  • · Replies 10 ·
Replies
10
Views
2K
Probability of Gorilla Stodging with Throwing Bananas
  • · Replies 10 ·
Replies
10
Views
2K
MHB Calculating probability that 3 events occur 1 after other
  • · Replies 1 ·
Replies
1
Views
3K
Bayes' Theorem and a car starting probability
  • · Replies 5 ·
Replies
5
Views
4K
What is the ideal number of guesses to maximize your marks in MCQs?
  • · Replies 29 ·
Replies
29
Views
3K
Probability that both are defective
  • · Replies 7 ·
Replies
7
Views
5K
Probability Problem -- pulling colored balls from a box randomly
  • · Replies 25 ·
Replies
25
Views
5K
High School Calculating Probability of Event After Y Attempts
  • · Replies 6 ·
Replies
6
Views
9K