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What is the probability that someone random guesses the correct combination in one attempt if the lock has 3 wheels numbered 0-9

 May 24, 2017

Best Answer 

 #2
avatar+129896 
+1

 

Sorry MG....that's not quite correct....

 

Assuming that any digit can be repeated.....

 

We have 10 ways to choose a value in each position.....so the total number of possible combinations =

 

(10) (10) (10)   =  10^3   = 1000

 

So....the chances that you guess the correct combination one one try =  1 / 1000  = .001  = .1%

 

cool cool cool

 May 24, 2017
 #1
avatar+80 
0

Well, there are only 27 possibillities, so, hmm... maybe a 

3.7037037037 percentage?(703703703703703 repeating) 

Once again, please correct me if I'm wrong.

 May 24, 2017
edited by mathguardian23  May 24, 2017
 #2
avatar+129896 
+1
Best Answer

 

Sorry MG....that's not quite correct....

 

Assuming that any digit can be repeated.....

 

We have 10 ways to choose a value in each position.....so the total number of possible combinations =

 

(10) (10) (10)   =  10^3   = 1000

 

So....the chances that you guess the correct combination one one try =  1 / 1000  = .001  = .1%

 

cool cool cool

CPhill May 24, 2017

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