Question

Let x denote the number of biased die with the following probability mass function p(x) 

X:    1    2   3    4   5     6

P(x):  1/6  1/6  1/5   y   1/5   1/6

a) find the value of y 

Answer 1

a)

$$\sum_ip(x_i)=1$$

$$1/6+1/6+1/5+y+1/5+1/6=1$$

$$y=1/10$$