Julia such a passcode and her tablet which only allows five digit codes she has heard that it's more secure if I digit is repeated in the passcode what is the probability the spies is able to unlock the tablet on his first try

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.8: The Multiplication Principle
Problem 15E
icon
Related questions
Topic Video
Question

Julia such a passcode and her tablet which only allows five digit codes she has heard that it's more secure if I digit is repeated in the passcode what is the probability the spies is able to unlock the tablet on his first try

Expert Solution
Step 1

Given that the password is 5 digit long and there is one digit repeating.The spy knows 4 digits.He can pick the repeating digit from 4 digits in 4 ways.When the repeating digit is picked, then other 3 digits can be picked from other (4-1)=3 digits in 3C3=1 wayWhen all the digits are picked then we can arrange them in 5!2!=60 waysSo total number of possible passwords=4×1×60=240 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage