MHB Probability Theory: Q1, Q2, and Q3

rishabhbhatt92
Messages
1
Reaction score
0
Q1. There are n cells and each cell contains k balls. One ball is taken from each of the cells. Find the probability that the second lowest label from the balls drawn is m.

Q2. Game played by two friends: each player picks two balls. The person who gets the first white ball in the second draw is the winner. Find the probability that the first player does not win till the third draw given that the first player wins. The urn from which they are drawing contains a white balls and b black
balls.

Q3. From an urn containing a white and b black balls first m balls are drawn one by one and then a ball is drawn. Then n balls are draw at one go and then another ball is drawn, then k more drawn. Given that the m+1 st ball is black find the probability that the m+n+2 nd ball is white.
 
Physics news on Phys.org
Welcome to MHB! :D

Just for future reference, we ask that you post no more than two questions in a thread, and that you show what you've tried so our helpers can see where you may be going wrong and how best to help.

Keeping the number of questions down helps keep a thread from becoming convoluted and hard to follow, particularly if more than one person is trying to help with different problems at the same time.

These (and our other) rules are designed to make MHB as efficient as possible for everyone involved. (Yes)
 
Hi all, I've been a roulette player for more than 10 years (although I took time off here and there) and it's only now that I'm trying to understand the physics of the game. Basically my strategy in roulette is to divide the wheel roughly into two halves (let's call them A and B). My theory is that in roulette there will invariably be variance. In other words, if A comes up 5 times in a row, B will be due to come up soon. However I have been proven wrong many times, and I have seen some...
Thread 'Detail of Diagonalization Lemma'
The following is more or less taken from page 6 of C. Smorynski's "Self-Reference and Modal Logic". (Springer, 1985) (I couldn't get raised brackets to indicate codification (Gödel numbering), so I use a box. The overline is assigning a name. The detail I would like clarification on is in the second step in the last line, where we have an m-overlined, and we substitute the expression for m. Are we saying that the name of a coded term is the same as the coded term? Thanks in advance.
Back
Top