Combination Locks A combination lock has 50 numbers on it.

Chapter 5, Problem 43E

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 43E

Combination Locks A combination lock has 50 numbers on it. To open it, you turn counterclockwise to a number, then rotate clockwise to a second number, and then counterclockwise to the third number. Repetitions are allowed.

(a) How many different lock combinations are there?

(b) What is the probability of guessing a lock combination on the first try?

Questions & Answers

QUESTION:

Problem 43E

Combination Locks A combination lock has 50 numbers on it. To open it, you turn counterclockwise to a number, then rotate clockwise to a second number, and then counterclockwise to the third number. Repetitions are allowed.

(a) How many different lock combinations are there?

(b) What is the probability of guessing a lock combination on the first try?

ANSWER:

Solution:

Step 1 of 2:

      Given that a combination lock has 50 numbers on it.

a). Here we have to find how many different lock combinations are there.

       Each three numbers have 50 possible outcomes.

         

       Then the number of all combinations are

     

                 

      Therefore, there are 125000 lock combinations.


Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back