FALL WEBWORMS DICE WITH DEATH

Year End Report: Host plant choice in Fall Webworms

Rolling Dice with Polynomials

George Sichermann in 1978 discovered a way to label two six-sided dice that produces outcomes identical to the one which occurs when two standard six-sided dice are rolled. In this talk, I will describe a generalization of this result due to Gallian and Rusin which uses polynomial algebra. I will conclude with a description of several variations on the original problem, several open questions, ...

Nontransitive Dice With Equal Means∗

We analyze a game in which two players choose in turn and roll an n-sided die, each player having his choice of numbering of the faces, subject to certain constraints. The player who rolls the larger number wins. We say die B “dominates” die A if P [B > A] > P [A > B]. The nontransitivity of this dominance relation for dice has been studied by several authors. We analyze the case of n-sided dic...

Paradoxes with Dice and Elections

There are two players playing the game, player U and player I. Each player chooses a (distinct) die and rolls – the player with the higher value is the winner. I kindly gives player U the first choice of any one of the three dice. Let us say that U chooses die X. After some thought, I chooses die Z, and then both players roll their dice. What are the possibilities? Because both dice have 6 side...

Effects of Consciousness on the Fall of Dice: A Meta-Analysis

This article presents a meta-analysis of experiments testing the hypothesis that consciousness (in particular, mental intention) can cause tossed dice to land with specified targets face up. Seventy-three English language reports, published from 1935 to 1987, were retrieved. This literature describes 148 studies reported by a total of 52 investigators, involving more than 2 million dice throws ...