- $$\frac{{1}}{{216}}$$
- $$\frac{{1}}{{36}}$$
- $$\frac{{4}}{{216}}$$
- $$\frac{{3}}{{216}}$$
Call
Answer: Option 1
The total number of elementary events associated to the random experiments of throwing four dice simultaneously is: $$\eqalign{ & = 6 \times 6 \times 6 \times 6 = {6^4} \cr & n(S) = {6^4} \cr} $$ Let X be the event that all dice show the same face. X = {(1, 1, 1, 1), (2, 2, 2, 2), (3, 3, 3, 3), (4, 4, 4, 4), (5, 5, 5, 5), (6, 6, 6, 6)} n(X) = 6 Hence required probability, $$\eqalign{ & = \frac{{n(X)}}{{n(S)}} = \frac{6}{{{6^4}}} \cr & = \frac{1}{{216}} \cr} $$
Talk Doctor Online in Bissoy App