MHB Find the probability of choosing the same subset

  • Thread starter Thread starter Diganta281
  • Start date Start date
  • Tags Tags
    Probability
AI Thread Summary
To find the probability that Ram and Shola choose the same subset of 16,384 items from a collection of 65,536 items, one must first calculate the total number of ways to choose 16,384 items from 65,536, which is given by the binomial coefficient C(65536, 16384). The probability that both randomly selected subsets are identical is then the ratio of the number of favorable outcomes (1, since there is only one way for them to pick the same subset) to the total outcomes (C(65536, 16384)). This results in a probability of 1 divided by C(65536, 16384). The discussion emphasizes the importance of understanding combinatorial calculations in determining probabilities in such scenarios.
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.
 
Mathematics 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?
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

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

Hot Threads

Recent Insights

Back
Top