A Gambler Claimed That He Had Loaded a Die So $$\frac { 1 } { 20 } , \frac { 1 } { 6 } , \frac { 1 } { 6 } , \frac { 1 } { 6 } , \frac { 1 } { 6 } , \frac { 1 } { 6 }$$

Essay

A gambler claimed that he had loaded a die so that it would hardly ever come up 1. He said the outcomes of 1, 2, 3, 4, 5, 6 would have probabilities $$\frac { 1 } { 20 } , \frac { 1 } { 6 } , \frac { 1 } { 6 } , \frac { 1 } { 6 } , \frac { 1 } { 6 } , \frac { 1 } { 6 }$$ respectively. Can he do what he claimed? Why or why not? Is a probability distribution
described by listing the outcomes along with their corresponding probabilities? Why or why not?