Problem #PRU-65263

Problems Probability and statistics Probability theory Discrete distribution Algebra Algebraic inequalities and systems of inequalities Quadratic inequalites (several variables) Algebraic equations and systems of equations Systems of algebraic non-linear equations
 13–16  4.0

Problem

Is it possible to:

a) load two coins so that the probability of “heads” and “tails” were different, and the probability of getting any of the combinations “tails, tails,” “heads, tails”, “heads, heads” be the same?

b) load two dice so that the probability of getting any amount from 2 to 12 would be the same?