If you are rolling a fair sixsided die what is the probabili

If you are rolling a fair six-sided die, what is the probability you get your second 4 on your eighth roll?

Solution

the probability to get 4 in a fair six-sided die is 1/6

so if we roll the die 8 times and in the 8 event you will get your second 4

so the 2,3,4,5,6,7 time that you roll the die, it can be other number but not 4 so that probability is 5/6

the probability to find that is

1/6 * (5/6)^6 * (1/6) = 0.0093