SOLUTION: Three fair dice are tossed once. What is the probability that the faces show three consecutive integers?
Algebra.Com
Question 616161: Three fair dice are tossed once. What is the probability that the faces show three consecutive integers?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Three fair dice are tossed once. What is the probability that the faces show three consecutive integers?
----
# of ways to succeed:
There are 3 consecutive sequences possible.
There are 3*2*1 = 6 ways to achieve one of those sequences with the 3 dice.
----
# of ways to succeed = 3*6 = 18
====
# of possible outcomes when you toss 3 dice = 6^3 = 216
---
P(3 consecutive integers) = 18/216
===================
cheers,
Stan H.
===============
RELATED QUESTIONS
three fair dice are tossed once. What is the probability that the faces show three... (answered by stanbon)
Two fair dice are tossed, what is the probability you will get a three on both of the... (answered by Fombitz)
Two fair dice are tossed. What is the probability that the sum of the top two faces is... (answered by ewatrrr)
Six fair dice are tossed. What is the probability that at least two of them show the same (answered by edjones)
Three fair dice are shaken and rolled onto a table. What is the probability that all... (answered by stanbon,Edwin McCravy)
A fair coin is tossed. If a head turns up, a fair die is
tossed ; if a tail turns up,... (answered by Edwin McCravy)
Two fair dice are thrown together once. What is the probability that the sum of the... (answered by ikleyn)
two fair or unbiased, dice are tossed. what is the probability that the sum of the two... (answered by fcabanski)
Four fair six-sided dice are rolled. What is the probability that at least three of the... (answered by stanbon)