SOLUTION: Solve the problem. 1) If a fair die is rolled repeatedly until a ʺtwoʺ appears, find the probability that the first ʺtwoʺ appears on the 5th roll.

Algebra ->  Probability-and-statistics -> SOLUTION: Solve the problem. 1) If a fair die is rolled repeatedly until a ʺtwoʺ appears, find the probability that the first ʺtwoʺ appears on the 5th roll.      Log On


   



Question 956100: Solve the problem.
1) If a fair die is rolled repeatedly until a ʺtwoʺ appears, find the probability that the first ʺtwoʺ appears on the 5th roll.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I need the probability that I will get:
(1) NOT a 2 on 1st roll
(2) NOT a 2 on 2nd roll
(3) NOT a 2 on 3rd roll
(4) NOT a 2 on 4th roll
(5) A 2 on 5th roll
---------------------
+%285%2F6%29%2A%285%2F6%29%2A%285%2F6%29%2A%285%2F6%29%2A%281%2F6%29+
+%285%2F6%29%5E4%2A%281%2F6%29+
+%28+625%2F1296+%29%2A%28+1%2F6+%29+
+625%2F7776+
+.08038+
The probability of getting the 1st 2
on the 5th roll is:
8.038 / 100
( slightly less than 1/10 )