Four unbiased dice 
each having six faces numbered 
and 6 are rolled simultaneously. The probability that 
shows a number appearing on one of 
and 
is
Text Solution
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Let 
be the event of the last one does not appear in the first three. and 
be the total number of outcomes
Given that Four fair dice 
and 
rolled simultaneously.
The total number of outcomes 
.
Suppose, the outcome of the last one does not appear in the first three.
The number of such outcomes possible 
can show any of 6 numbers and the first three can show any of the remaining 5 numbers)
Therefore, the probability that 
does not show a number shown by any of
So, the required probability is
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