A loaded dice has following probability distribution of occurrences
| Dice Value | 1 | 2 | 3 | 4 | 5 | 6 |
| Probability | $$\frac{1}{4}$$ | $$\frac{1}{8}$$ | $$\frac{1}{8}$$ | $$\frac{1}{8}$$ | $$\frac{1}{8}$$ | $$\frac{1}{4}$$ |
If three identical dice as the above are thrown, the probability of occurrence of values 1, 5 and 6 on the three dice is
A. same as that of occurrence of 3, 4, 5
B. same as that of occurrence of 1, 2, 5
C. $$\frac{1}{{128}}$$
D. $$\frac{5}{8}$$
Answer: Option C
Related Questions on Probability and Statistics
A coin is tossed 4 times. What is the probability of getting heads exactly 3 times?
A. $$\frac{1}{4}$$
B. $$\frac{3}{8}$$
C. $$\frac{1}{2}$$
D. $$\frac{3}{4}$$
A. 1 and $$\frac{1}{3}$$
B. $$\frac{1}{3}$$ and 1
C. 1 and $$\frac{4}{3}$$
D. $$\frac{1}{3}$$ and $$\frac{4}{3}$$
A. E(XY) = E(X) E(Y)
B. Cov (X, Y) = 0
C. Var (X + Y) = Var (X) + Var (Y)
D. E(X2Y2) = (E(X))2 (E(Y))2

Join The Discussion