Three fair dice are rolled simultaneously. In 10 independent throws,
let : number of times all the dice show same face
let : number of times exactly dice show same face
let p_1,p_2,p_3 be corresponding probabilities of
X, Y, Z=n-X-Y
pdf of trinomial distribution,
p(X=3, Y=3)= 10C3* (10-3)C3* p_1^3* p_2^3* p_3^4
i understand p_1= 6/6^3
but what are the values of p_2,p_3 ?