Consider an experiment where we roll a single die and observe the number of dots. Thus, our sample
space is S = {1, 2, 3, 4, 5, 6}. Suppose that the die is not fair and that P(i) = k / i for i = 1, 2, 3, 4, 5, 6. What is the value of k?
Answer:
1 = k(1+1/2+1/3+1/4+1/5+1/6) = (60+30+20+15+12+10)k/60
60 = 147k
k = 60/147
Is this right?