Problem #PRU-65263

Problems Algebra Algebraic equations and systems of equations Probability and statistics Probability theory Discrete distribution Algebraic inequalities and systems of inequalities Quadratic inequalites (several variables) 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?