SOLUTION: a fair eight-sided dice with faces numbered 1 through is rolled four times. What is the probability that exactly one 3 is rolled, and that the 3 is rolled on the third roll?

Algebra.Com
Question 546226: a fair eight-sided dice with faces numbered 1 through is rolled four times. What is the probability that exactly one 3 is rolled, and that the 3 is rolled on the third roll?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a fair eight-sided dice with faces numbered 1 through is rolled four times. What is the probability that exactly one 3 is rolled, and that the 3 is rolled on the third roll?
----
success means (no three),(no three),(three)
---
P(1st 3 on 3rd) = (5/6)(5/6)(1/6) = 25/216
==========================================
Cheers,
Stan H.
==============

RELATED QUESTIONS

Two fair sided dice (numbered 1-6) are rolled at the same time. What is the probability... (answered by Fombitz,richard1234)
dice with four faces was rolled x 1 2 3 4 f(x) 0.16 0.19 0.21 0.44... (answered by stanbon)
a pair of 24-sided dice are rolled (the sides are numbered 1-24). What is the... (answered by Fombitz)
What is the expected value of rolling a fair six-sided cube, with faces numbered 1... (answered by MathLover1)
a four-sided fair die has faces labeled 1,2,3, and 4. what is the probability of... (answered by edjones)
Two fair dice, each with faces numbered from 1 thru 6, are rolled at the same time. Each... (answered by Edwin McCravy)
A fair six-sided dice is rolled twice. Find the probability that neither is a... (answered by rfer)
Here is a fair dice. It has six faces 1,2,3,4,5 and 6. The dice is thrown three times.... (answered by stanbon)
A die with faces numbered 1 to 6 is rolled once. What is the probability of obtaining 3... (answered by ikleyn,Boreal)