SOLUTION: As a part of a contest, a computer picks a digit from 0 to 7, inclusive, 3 times. If the 3 digits are all the same, the contestant wins a prize. What is the probability that the pl

Algebra ->  Probability-and-statistics -> SOLUTION: As a part of a contest, a computer picks a digit from 0 to 7, inclusive, 3 times. If the 3 digits are all the same, the contestant wins a prize. What is the probability that the pl      Log On


   

Question 764767: As a part of a contest, a computer picks a digit from 0 to 7, inclusive, 3 times. If the 3 digits are all the same, the contestant wins a prize. What is the probability that the player will win a prize?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are 8 digits to choose from. There are 3 slots. So there are 8^3 = 512 different ways to pick a 3 digit number.

There are only 8 three digit numbers where all 3 digits are the same (000, 111, 222, ..., ..., 777)

So the probability of winning is 3/512 = 0.005859375