If 4 fair 6-sided dice are rolled, what is the probability that at least one die will show a number greater than 5?

probability is 671 out of 1296 or 51.8 %.

Step-by-step explanation:

When we roll 4 fair 6-sided dice total outcomes are

6^4 = 1296

The outcomes where no dice show greater than 5, the dice can show numbers 0,1,2,3,4,5

So the no of these outcomes where no dice show greater than 5 can be found by

5^4 = 625

No of outcomes where at least one dice will show number greater than 5 are

1296-625 = 671

Or in percentage, the probability is (671/1296) * 100 = 51.8%