Find the probability of choosing the same subset

  • Context: MHB 
  • Thread starter Thread starter Diganta281
  • Start date Start date
  • Tags Tags
    Probability
Click For Summary
SUMMARY

The probability of Ram and Shola choosing the same subset of 16384 items from a collection of 65536 items is calculated using combinatorial mathematics. The total number of ways to choose 16384 items from 65536 is given by the binomial coefficient C(65536, 16384). The probability that both Ram and Shola select the same subset is 1 divided by the total number of combinations, resulting in a probability of 1/C(65536, 16384).

PREREQUISITES
  • Understanding of combinatorial mathematics
  • Familiarity with binomial coefficients
  • Basic probability theory
  • Knowledge of random selection processes
NEXT STEPS
  • Study binomial coefficients and their applications in probability
  • Learn about combinatorial probability calculations
  • Explore advanced topics in random selection and sampling
  • Investigate real-world applications of combinatorial mathematics
USEFUL FOR

Mathematicians, statisticians, students studying probability theory, and anyone interested in combinatorial analysis.

Diganta281
Messages
3
Reaction score
0
There is a collection of 65536 different items. Out of these items ,
Ram chooses 16384 items.Shola also wants to choose 16384 items out of
this collection of 65536 different items. Find the probability that
the collection of items which Ram has choosen will be same as the
collection of items which Shola will choose.
 
Physics news on Phys.org
Hello and welcome to MHB, Diganta28! :D

Can you compute how many ways there are to choose 16384 items from 65536 items?
 
MarkFL said:
Hello and welcome to MHB, Diganta28! :D

Can you compute how many ways there are to choose 16384 items from 65536 items?
Ram randomly picks and Shola also picks randomly
 
Diganta28 said:
Ram randomly picks and Shola also picks randomly

Yes, but how many ways are there to randomly pick 16384 items from a set of 65536 items, and how many ways can they both pick the same subset?
 

Similar threads

MHB What Is the Probability of Receiving Identical Pairs from Random Crates?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Find the probability of being same
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad What is the Uncertainty in the Total Weight of a Collection of Similar Items?
  • · Replies 12 ·
Replies
12
Views
2K
MHB Math for trading/investing conversion?
  • · Replies 1 ·
Replies
1
Views
2K
MHB Form some model to predict a food items probability of you know being sold
  • · Replies 4 ·
Replies
4
Views
5K
Undergrad Fair distribution, minimizing envy
  • · Replies 2 ·
Replies
2
Views
1K
Java Searching & Displaying Items in Android App Using Java & SQL
  • · Replies 5 ·
Replies
5
Views
3K
MHB Probability of 3 people ending up on same team?
  • · Replies 5 ·
Replies
5
Views
5K
Variable, Data Type and Array Data Structures
  • · Replies 10 ·
Replies
10
Views
2K
Starfield: New First-Person Epic Role-Playing Game by BGS
  • · Replies 9 ·
Replies
9
Views
3K