National and University Library, Ljubljana (NUK)
-
How to lose as little as possibleAddona, Vittorio ; Wagon, Stan ; Wilf, Herbert S., 1931-2012Suppose Alice has a coin with heads probability ▫$q$▫ and Bob has one with heads probability ▫$p>q$▫. Now each of them will toss their coin ▫$n$▫ times, and Alice will win iff she gets more heads ... than Bob does. Evidently the game favors Bob, but for the given ▫$p, q$▫, what is the choice of n that maximizes Alice's chances of winning? We show that there is an essentially unique value ▫$N(q, p)$▫ of ▫$n$▫ that maximizes the probability ▫$f(n)$▫ that the weak coin will win, and it satisfies ▫$\left\lfloor \frac{1}{2(p-q)} - \frac{1}{2} \right\rfloor \leq N(q, p) \leq \left\lceil \frac{\max(1-p,q)}{p-q} \right\rceil$▫. The analysis uses the multivariate form of Zeilberger's algorithm to find an indicator function ▫$J_n(q, p)$▫ such that ▫$J > 0$▫ iff ▫$n < N(q,p)$▫ followed by a close study of this function, which is a linear combination of two Legendre polynomials. An integration-based algorithm is given for computing ▫$N(q,p)$▫.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 4, no. 1, 2011, str. 29-62)Type of material - article, component partPublish date - 2011Language - englishCOBISS.SI-ID - 16261977
![loading ... loading ...](themes/default/img/ajax-loading.gif)
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|---|
Addona, Vittorio | ![]() |
Wagon, Stan | ![]() |
Wilf, Herbert S., 1931-2012 | ![]() |
Source: Personal bibliographies
and: SICRIS
Select pickup location:
Material pickup by post
Delivery address:
Address is missing from the member's data.
The address retrieval service is currently unavailable, please try again.
By clicking the "OK" button, you will confirm the pickup location selected above and complete the reservation process.
By clicking the "OK" button, you will confirm the above pickup location and delivery address, and complete the reservation process.
By clicking the "OK" button, you will confirm the address selected above and complete the reservation process.
Notification
Automatic login and reservation service currently not available. You can reserve the material on the Biblos portal or try again here later.
Subject headings in COBISS General List of Subject Headings
Select pickup location
The material from the parent unit is free. If the material is delivered to the pickup location from another unit, the library may charge you for this service.
Pickup location | Material status | Reservation |
---|
Reservation in progress
Please wait a moment.
Reservation was successful.
Reservation failed.
Reservation...
Membership card:
Pickup location:
Naročanje gradiva za izposojo v čitalnice
Naročanje kopij člankov
Urnik dostave gradiva z oznako DS v signaturi