Calculating Probability for Selecting Tanks with Specific Characteristics

Click For Summary
SUMMARY

The discussion focuses on calculating the probability of selecting 4 tanks from a total of 24, specifically aiming to include exactly one high viscosity tank and one high impurity tank. The problem involves 6 high viscosity tanks and 4 high impurity tanks among the total. Participants are encouraged to share their calculations to identify errors and clarify the solution process for part c of the problem.

PREREQUISITES
  • Understanding of basic probability concepts
  • Familiarity with combinatorial calculations
  • Knowledge of tank characteristics (high viscosity and high impurity)
  • Ability to perform calculations involving combinations and permutations
NEXT STEPS
  • Study combinatorial probability techniques
  • Learn how to calculate combinations using the binomial coefficient
  • Explore examples of probability problems involving multiple characteristics
  • Review the principles of conditional probability
USEFUL FOR

Students in mathematics or statistics, educators teaching probability, and anyone interested in solving combinatorial problems related to selection criteria.

kschong
Messages
5
Reaction score
0
For this question, i already solve the part a and part b. For the part c, i try to solve it but i can't get the answer that given. Can someone explain to me? How to do the part c. Thanks!
 

Attachments

  • DSC00386.jpg
    DSC00386.jpg
    65 KB · Views: 510
Physics news on Phys.org
Hi kschong! :wink:

So there's 24 tanks, of which 6 are high viscosity, add 4 are high impurity: what is the probability that 4 tanks chosen at random include exactly one of each?

Show us your full calculations, and then we can see what went wrong, and we'll know how to help. :smile:
 

Similar threads

Undergrad Understanding permutations and combinations in a coin toss experiment
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Adding random numbers: Tolerance analysis
  • · Replies 11 ·
Replies
11
Views
4K
Undergrad Can you calculate the probability of a complex logic expression?
  • · Replies 3 ·
Replies
3
Views
2K
High School Can You Calculate the Odds of These Unlikely Events?
  • · Replies 8 ·
Replies
8
Views
1K
MHB Combination/probability question (High School level)
  • · Replies 6 ·
Replies
6
Views
2K
MHB Probability of Combinations and Permutations
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad Combination or Permutation Calculation
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad How Many Permutations Exist Where M Equals K on Cards?
  • · Replies 31 ·
2
Replies
31
Views
3K
MHB Calculating Probability of Consonant and Vowel Tiles with Blind Selection Method
  • · Replies 1 ·
Replies
1
Views
1K
MHB Probability that a randomly selected chicken has the genetic modification
  • · Replies 10 ·
Replies
10
Views
1K