matching problem like the classic: "An absent-minded secretary prepares n letters and envelopes to send to n different people, but then randomly stuffs the letters into the envelopes. A match occurs if a letter is inserted in the proper envelope. Find the probability a match happens."
Explain/solve the "Matching Problem" in the simplest terms
How would you explain and solve the "Matching Problem" to a HS math club? give the simplest explanation and solution you know.
This is a very interesting approach by Srijithju, but it should read P = { 2^25 + 25*(2^24) } / 2^40 = 0.000411987, which is remarkably accurate!
Thanks!
How often do you return AND CROSS the origin in a random walk?
Is there a probability distribution for how many times can you expect a change in the lead of a coin tossing contest between two players (heads Vs. tails)?
Which is the most likely # of changes in the lead?
I heard a http://www.youtube.com/watch?v=YtdE662eY_M"by Brian Greene where he states that there are over 20 constants needed for the universe to exist, Which are those constants?
What is the probability of getting 15 OR MORE CONSECUTIVE heads over 40 coin tosses?
Can you approximate the solution with simulations?
Is there an analytical way to get the exact solution?
(I'm getting conflicting figures around 0.0004) Thanks in advance.