Calculating Probability: Sample of Workers & Shifts | Probability Question

  • Thread starter Thread starter TitaniumX
  • Start date Start date
  • Tags Tags
    Probability
Click For Summary
SUMMARY

The discussion focuses on calculating the probability of selecting a sample of workers from three shifts at a production facility, specifically determining the likelihood that at least one shift is unrepresented when drawing 6 slips without replacement. The total number of workers is 45, with 20 on the day shift, 15 on the swing shift, and 10 on the graveyard shift. The suggested approach involves using the formula "1 - P(all shifts represented)" to find the desired probability. Participants emphasize the importance of understanding combinatorial probability to solve this problem effectively.

PREREQUISITES
  • Combinatorial probability concepts
  • Understanding of sampling without replacement
  • Basic knowledge of probability theory
  • Familiarity with probability equations and notation
NEXT STEPS
  • Study combinatorial probability methods in depth
  • Learn how to apply the hypergeometric distribution
  • Explore examples of sampling without replacement in probability
  • Review probability theory fundamentals, focusing on event representation
USEFUL FOR

Students in probability courses, educators teaching probability concepts, and anyone interested in understanding sampling techniques and their implications in real-world scenarios.

TitaniumX
Messages
7
Reaction score
0
Question
If a production facility employs 20 workers on the day shift, 15 workers on the swing shift, and 10 workers on the graveyard shift.

d) What is the probabily that drawing 6 slips (without replacement) that at least one of the shifts will be unrepresented in the sample of workers.

This is part D of a multi-part question from Probability class. I'm not sure how to solve it, but I'm guessing you can use the equation "1-P(that all shifts is represented)"... but how do you calculate the probability of that? Thank you
 
Physics news on Phys.org
This is a thinking question, not a calculating question. Even this may be too much of a hint.
 

Similar threads

Probability Word Problem: Aptitude Question
  • · Replies 8 ·
Replies
8
Views
3K
Probability that both are defective
  • · Replies 7 ·
Replies
7
Views
5K
How Is Worker Selection Probability Calculated Across Different Shifts?
  • · Replies 5 ·
Replies
5
Views
15K
High School The Probability of an Event
  • · Replies 11 ·
Replies
11
Views
3K
Undergrad Help Needed: Probability Problem in Risk Management Calculcations
  • · Replies 4 ·
Replies
4
Views
2K
Where will the pendulum land -- Probability Question
  • · Replies 19 ·
Replies
19
Views
3K
Undergrad How Do You Calculate Day-Specific Phase Shifts in Excel for Sine Waves?
  • · Replies 7 ·
Replies
7
Views
3K
High School Why did it suddenly become subtractive? (Example of Bayes’ Theorem)
  • · Replies 9 ·
Replies
9
Views
2K
Interesting Probability problem and maybe binomial theorem
  • · Replies 5 ·
Replies
5
Views
5K
Probability of drawing duplicates (warning long post)
  • · Replies 7 ·
Replies
7
Views
2K