You decide to take up a life of crime and plan to break into a bank. You and your buddies have to decide which bank to choose from based on their locked door. One bank has a lock that requires four letters (repetition is not allowed) and the other bank has a lock that requires 6 digits (repetition is allowed). You want to break into the bank with the door that gives you the higher probability of breaking the code. Of those two options, which one has the greater probability of you guessing the code?

Answers

Answer 1

Answer:

The first bank with the four letter code has the grater probability of me guessing the code.

Step-by-step explanation:

To break the code for the first bank which uses four letters, since there are 26 letters in the alphabet, and require a four letter code, the first letter can be any of the 26 letters. Since one letter has been taken, we are left with 25 letters for the second position, 24 for the third position and 24 for the fourth position.

So, the total number of ways of selecting the 4 letter code without repetition is ²⁶P₄ = 26 × 25 × 24 × 23 = 358800

Since we have only 1 correct code, this is our required outcome. So,  the probability of breaking the code is P = required outcome/total outcome = 1/358800 = 2.787 × 10⁻⁶

To break the code for the second bank which uses 6 digits with repetition, since there are 10 digits, and we require a 6 digit code, each digit can be filled with 10 digits each. Since there is repetition, the total number of ways we can select the 6 digits is (¹⁰P₁)⁶ = 10 × 10 × 10 × 10 × 10 × 10 = 10⁶.

Since there is going to be only 1 correct code, the number of ways of selecting the correct code is 1.

The probability P' of cracking the second bank code is P' = required outcome/total outcome = 1/10⁶ = 1 × 10⁻⁶

Since P = 2.787 × 10⁻⁶ > P' =  1 × 10⁻⁶, the first bank with the four letter code has the grater probability of me guessing the code.


Related Questions

A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.

Answers

Apex: 25 feet is the correct answer!

Step-by-step explanation:

Take it or leave it:) Good Luck

The height of the pole is 25 foot (approximate)

What is angle of elevation?

The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.

Given,

The shadow of the flagpole = 40 foot,

and the angle from the tip of the shadow to the tip of the flagpole = 32°

Perpendicular is the height of the pole and Base is its shadow.

Tan(x)=(perpendicular)÷(base)

Tan(32°) = 0.624869352

0.624869352 = (height of pole)÷40

0.624869352 x 40 = height of pole

24.9947741 = height of pole

Height of pole = 24.9947741

Height of pole ≈ 25 foot

Hence, tthe height of the pole is 25 foot (approximate)

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Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish

Answers

Answer:

19 days

Step-by-step explanation:

305 - 115 = 190

190 ÷ 10 = 19

a company packages fruit baskets of different weights and ships them to customers. the company charges a flat fee for packaging the baskets. the total packaging and shipping cost in dollars, y, of a fruit basket weighing x pounds is represented by the line on the graph below. (1 point at (3, 10) another at (6, 16))
what is the y intercept of the line on the graph​

Answers

Answer:

4

Step-by-step explanation:

The y-intercept of any given graph is always the value of the y of the point where the line of the graph intercepts or cut across the y-axis. It is the value of y when x = 0.

In this case, the y-intercept of the line of the graph above is y = 4. At y = 4, x = 0.

It represents the flat fee the company charges for packaging the baskets = $4.

What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.

Answers

Answer:

Step-by-step explanation:

it would be to subract 0.01 from 0.025 because you want to get the x by itself

Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes

Answers

Answer:

Each pair is $17.31 average

Step-by-step explanation:

All you do is divide $69.25 by 4

Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer

Step-by-step explanation:

y = -x – 1
What’s the slope?

Answers

Answer:

m = − 1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

The slope formula is y=mx + b. m is the slope and b is the y-intercept. m is the number that x is being multiplied by. In this problem, you just see -x, so m= -1.

What is the 325th Triangular number?

Answers

Answer:52813

Step-by-step explanation:

To get the 325th triangular number all you have to do is n x (n+1) /2

N=325

325 x 325+1

325x325=105625

105625+1=105626

105626/2=52813

There you go=52813 is the 325th triangular number

Bugs Bunny wanted to buy some new signs to use to trick Daffy Duck. Each sign costs $12, and tax is only 6% in Looney Tune Land. How much would Bugs pay for three signs with tax?

(Please show work too :) )

Answers

Answer:

$38.16

Step-by-step explanation:

12*3=36

36*0.06=2.16

36+2.16=38.16

Hope this helps! :)

Erin drinks the same amount of milk every day. The equation below represents the proportional relationship between the number of gallons of milk (m) and the numbers of days (d) Erin drinks milk. 16m=2d How long does it take for Erin to drink 1 gallon of milk?

Answers

Answer:

8 days

Step-by-step explanation:

We have that the proportional relationship between the number of gallons of milk (m) and the numbers of days (d) Erin drinks milk is:

[tex] 16m = 2d [/tex]

Hence, the days that would take Erin to drink 1 gallon of milk is:                      

[tex] d = \frac{16m}{2} = 8m = 8*1 = 8 d [/tex]

Therefore, it would take for Erin 8 days to drink 1 gallon of milk.

I hope it helps you!

What is 16 divided by 12?

Answers

Answer:

The answer is 4/3

Step-by-step explanation:

Hope this helps!!

how to solve trial and error method i) y + 6 = 11

Answers

1.) you have to subtract 6 from both sides to get rid of 6

2.) 11 minus 6 is 5

3). this leaves you with y = 5

Zevel overheard Bradley say he got a 66% on the last test. If Zevel only got one-third what
Bradley got, what is Zevel's score?

Answers

Answer:

22

Step-by-step explanation:

66 ÷3=22

3= one third

i believe it’s 1.98 because if you divide 60% by 1/3 You get 1.98


Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6

Answers

Answer:

x = 6

Step-by-step explanation:

4 − 2(2x − 7) = −6.

Distribute

4 -4x +14 = -6

Combine like terms

18-4x = -6

Subtract 18 from each side

18 -4x-18 = -6-18

-4x = -24

Divide each side by -4

-4x/-4 = -24/-4

x = 6

Write and evaluate the expression. Then, complete the statements.

six more than the product of nine and a number

Evaluate when q = 6

A 2-column table with 5 rows. Column 1 is labeled Key words with entries six, more than, product, nine, a number. Column 2 is labeled Replace with entries 6, +, times, 9, q.

First, write the expression
6 + 9q
.

Second,
evaluate
6 in for the variable, q.

Third,
simplify
using
order of operations
.

The answer is
.

Answers

Answer:

first one  is

6+9q

substitute

simplify

order of operations

the answer is 60

Step-by-step explanation:

i got it on edenuity what ever it

hope i helped :)

Please help
Use the table below to answer this question:

x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.

Answers

Answer:

;)

Step-by-step explanation:

ฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅฅ^•ﻌ•^ฅ

HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC

Answers

Answer:

b

Step-by-step explanation:

angle b = angle e = 90 (given) R

if ac = df H

bc = ef (given) S

19 is 50% of what number? round to the nearest tenth

Answers

Answer:

38... 19 doubled thats it

Answer:

38

Step-by-step explanation:

Rounded to the nearest tenth is 40

the level of detail that an instrument can measure is known as its _____

Answers

Answer:

precision

Step-by-step explanation:

it just is

help me please
Solve for x and y

Answers

Answer:

ouch math keeps getting harder and harder every time!

Step-by-step explanation: sorry ik this aint

wat u looking for

[(2r^2t)^3/4t^2]^2 simply

Answers

Answer:

=4r12t10

Step-by-step explanation:

Which ordered pair gives the coordinates of a point that lies on the line shown in the graph?

The range of the x axis is minus five to five by increment of one. On the x axis minus four, minus two, two, and four are labeled. The range of the y axis is minus three to minus seven by increment of one. On the y axis minus two, two, four, and six are labeled. In the line graph, the x intercept of the line is (-2, 0) and y intercept of the line is (0, 4).

Answers

Answer:

(0,2)

Step-by-step explanation:

To know get the answer, you would start at the orgin of the paper (0) and up two. Therefore your answer is (0,2).

Answer: (0,-2)

Step-by-step explanation: Wouldnt it be that since its on the negaive side

Let U = {q, r, s, t, u, V, W, X, y, z}
A = {q,S, U, W, y}
B = {q, s, y, z)
C = {v, w, x, y, z)
List the elements in the set.
A'UB

Answers

Answer:

b

Step-by-step explanation:

because I am good at this

Which table represents a linear function?
answers are in the picture plz help im timed​

Answers

Answer: first table

Step-by-step explanation: go with the first one

If the perimeter of a
square is 60 feet, what is
the area of the square?

Answers

Answer:

225 ft I believe  

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.

Find three consecutive even integers such that their sum decreased by 34 is equal to the first integer. Find the first integer.

Answers

Answer:

The first number: 14

The second number: 16

The third number: 18

Step-by-step explanation:

Equations

Let's assume:

x=the first even number.

x+2=the second even number

x+4=the third even number

The sum of all three is: x + x + 2 + x + 4

The condition states the sum decreased by 34 equals the first number:

x + x + 2 + x + 4 - 34 = x

Moving all the variables to the left side and the numbers to the right side:

x + x + 2 + x + 4 - 34 - x = 34 - 2 - 4

Simplifying:

2x =  28

Solving:

x = 28 / 2 = 14

The first number: 14

The second number: 16

The third number: 18

WILL RATE BRANLIEST Transversal t intersects lines a and b to form 8 angles. The angles formed with line a, clockwise from top left, are 1, 2, 3, 4. The angles formed with line b, clockwise from top left, are 5, 6, 8, 7.

For the diagram shown, which angles are corresponding angles

∠3 and ∠7

∠8 and ∠6

∠4 and ∠7

∠3 and ∠5

Answers

From the diagram, ∠3 and ∠7 can be seen to be corresponding angles.

The term corresponding angles

The term corresponding angles are those angles that are formed on the same sides when we have two lines that have been cut by a transversal.

Having known what is meant by corresponding angles, we can now look at the image to identify which angles are  corresponding angles. Clearly, ∠3 and ∠7 can be seen to be corresponding angles.

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Answer:

A,B,D, and F!

Step-by-step explanation:

here are the right ones

Angle1 and Angle3

Angle2 and Angle4

Angle5 and Angle7

Angle8 and Angle6

What is the value of h(3)?

Answers

Answer:

1

Step-by-step explanation:

The value of h(3) basically means what y-value does the function h have when x=3 ?

Looking at the graph, when x is 3, the y value is 1.

h(3)=1

4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.​

Answers

Answer:

3x - 2y = - 28

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x - 2y = 12 ( subtract 3x from both sides )

- 2y = - 3x + 12 ( divide all terms by - 2 )

y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

Parallel lines have equal slopes, thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (- 8, 2) into the partial equation

2 = - 12 + c ⇒ c = 2 + 12 = 14

y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form

Multiply through by 2

2y = 3x + 28  ( subtract 2y from both sides )

0 = 3x - 2y + 28 ( subtract 28 from both sides )

- 28 = 3x - 2y , that is

3x - 2y = - 28 ← equation in standard form

el 30% del 40% de 60 es/ 30% of 40% of 60 is​

Answers

Step-by-step explanation:

uiuhhhghjsjsisbsidgurdbridbr d

Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?

Answers

Answer:

Not enough context.

Step-by-step explanation:

Please give us the full question. How many chocolate chips in a muffin?

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