My Math Forum  

Go Back   My Math Forum > College Math Forum > Advanced Statistics

Advanced Statistics Advanced Probability and Statistics Math Forum


Reply
 
LinkBack Thread Tools Display Modes
November 27th, 2011, 09:24 PM   #1
Newbie
 
Joined: Sep 2011

Posts: 8
Thanks: 0

Effects of Clustering of Heads or Tails

1) How did you get prob. of at least X tails in N tosses with prob. of tail = q, out of K trials?
For e.g., In a bias coin toss game where prob(head)=0.7, what is the probability of 30 tails clustering
(not necessary consecutively) in the first 50 tosses out of 100 trials?

2) For a fair coin toss game played infinitely, is there any mathematical expression that describes the optimal condition to quit, as a function of the variables M,no. of consecutive losses & Cnow,current balance$ for a fixed bet size,b.
i.e. The best time to stop is when the no. of consecutive losses, M, has the greatest effect on the chances of current balance going to zero.Find a mathematical expression for this N in terms of Cnow & bet size, b (as % of Cnow).

Appreciate any suggestions.
coolcat is offline  
 
November 27th, 2011, 11:03 PM   #2
Newbie
 
Joined: Sep 2011

Posts: 8
Thanks: 0

Re: Effects of Clustering of Heads or Tails

To re-phrase,
When is this prob(streak of losses just enough to ruin its bankroll B) > 50%?
i.e. Is it possible to express this prob in terms of current bankroll B, b, M, p, q, etc?
coolcat is offline  
Reply

  My Math Forum > College Math Forum > Advanced Statistics

Tags
clustering, effects, heads, tails



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
K-mean clustering abady-1 Applied Math 0 March 15th, 2014 02:41 AM
Which clustering to group 2D points in a timeseries? iluvyoulongtime Applied Math 1 January 15th, 2013 01:37 AM
Maximize the thinking power of dragon heads darandoma Algebra 3 September 22nd, 2011 10:35 PM
Probabilty of consecutive heads/tails in weighted coin toss slyone Algebra 2 September 5th, 2008 04:05 PM
Probabilty of consecutive heads/tails in weighted coin toss slyone Advanced Statistics 1 September 4th, 2008 06:13 AM





Copyright © 2019 My Math Forum. All rights reserved.