Afair dice is rolled 5 times in sequence. what is the probability that you will get exactly the same number for all 5 rollings

1/7776. The probability of you getting any one number when rolling a dice is 1/6. Since you are rolling the dice 5 times and you are trying to get the same number each time. You would multiply 1/6 5-times. 1/6*1/6*1/6*1/6*1/6=1/7776.