Four dice are thrown simultaneously. Find the probability that all of them show the same face. Choose the correct choice from the following answers.
A) 1/45	B) 1/35	C) 1/216	D) 4/216	E) 6/216
The total number - four dice simultaneously is:   =6×6×6×6=64=6×6×6×6=64   n(S)=64n(S)=64   Let X be the event that all dice   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)}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)=6n(X)=6   Hence required probability, = 6/6^4   ==&gt;1/216   ANSWER 1/216
<result>C</result>
Four dice are thrown simultaneously. Find the probability that all of them show the same face.