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

Evaluate the expression when c=4. c2 +6c+8

(the 2 after the c is one of those mini high 2's.)​

Answers

Answer:

48

Step-by-step explanation:

2. Emily was going to her hotel. It took her 4 hours to get there after work. When she was driving nome she decided to go 15 miles per hour faster. which let her get home 1 hour earlier. How fast did she drive going to the hotel I 3. Give an example of a linear equation that has (a) no solution and ib) infinitely many solutions​

Answers

Answer:

She could not even fit in the hotel in the first place

Step-by-step explanation:

HELP PLEASEEEE!!
Choose the equation with the correct grouping symbols.

A. 45 + 45 ÷ (3 ÷ 3) = 20
B. 45 + [45 ÷ (3 ÷ 3)] = 20
C. [45 + (45 ÷ 3)] ÷ 3 = 20
D. 45 + (45 + 3 ÷ 3) = 20

Answers

Answer:

C

Step-by-step explanation:

(45+(15))/3=20

What is the solution to 3x-10x+5=5x+17

Answers

Answer:

x = -1

Step-by-step explanation:

3x - 10x + 5 = 5x + 17 (collect like terms)

-7x + 5 = 5x + 17 (subtract 5x on both sides)

-12x + 5 = 17 ( subtract 5 on each side)

-12x = 12 ( divide by -12 on each side)

x = -1

Answer:

x = - 1

Step-by-step explanation:

[tex]3x - 10x + 5 = 5x + 17[/tex]

Add the like terms.

[tex] - 7x + 5 = 5x + 17[/tex]

Add 7x to both sides.

[tex]5 = 12x + 17[/tex]

Subtract 17 from both sides.

[tex] - 12 = 12x[/tex]

[tex] - \frac{12}{12} = x[/tex]

[tex] - 1 = x[/tex]

A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of 2 meters above the water. The flare has an initial vertical velocity og 30 meters per second. How long does it take the flare to reach its maximum height? What is that height?

Answers

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

Question in picture please answer

Answers

Answer:

-16

Step-by-step explanation:

-2=2+V/4

-V/4=2+2

-V/4=4

-V=4x4

-V=16

V=-16

How many different four-digit alarm codes can be formed for a house alarm if
digits cannot be repeated?

Answers

Answer:

about 3000

Step-by-step explanation:

is
Find the area of this circle. Use 3 for .
A = air2
Hint: The radius (r) is
1/2 of the diameter.
12 in
[?] in2

Answers

Answer:

113.1 in²

Step-by-step explanation:

A = pi × r²

= pi × 6²

= 113.1 in²

Determining the Value of the Slope from a Table
A 2-column table with 5 rows. Column 1 is labeled x with entries 1000, 1000, 1000, 1000, 1000. Column 2 is labeled y with entries 20, 23, 26, 29, 32.

What can you conclude about the slope of the values in the table? Check all that apply.
The slope is 3.
The slope is 0.
The slope is undefined.
The graph will be a horizontal line.
The graph will be a vertical line.
The graph will have a line with a positive slope.

Answers

Answer:

3 and 5

Step-by-step explanation:

Hope this helped :)

I did the same assignment and it was right!

Answer:

here is the answer

Step-by-step explanation:

A bag contains 12 blue blue marbles and 8 red marbles what is the ratio of the blue marbles to red marbles

Answers

Answer:

12:8 or 12 to 8 or u could do it in fraction form

Step-by-step explanation:

Answer:

12:8 or 12 to 8

Explanation:

The ratio of blue marbles to red marbles is 12 to 8

A box has a length of 6 centimeters, a width of 4 centimeters, and a height of 5 centimeters. Jen filled the bottom layer with 24 cubes. What is the volume of the box?

Answers

Answer:

120 centimeters cubed

Step-by-step explanation:

you dont even need to know the last part. multiply length x width x height=volume (6x4x5) to get 120. the volume is 120 centimeters cubed :)

Answer:

120

Step-by-step explanation:

I know this question is old but why not

HELP ASAP: Can you draw a quadrilateral that's not a parallelogram with only one pair of congruent angles? Explain why one pair of congruent angles isn't enough information to prove that a quadrilateral is a parallelogram.

Answers

Yes it is possible. We could draw a trapezoid that has 2 right angles as shown below. A trapezoid has only one pair of parallel sides. A parallelogram needs both pairs of opposite sides to be parallel.

Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles.

What is quadrilateral?

A quadrilateral is a four-sided polygon with four edges and four corners in geometry. A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are known as the trapezoid's bases.

Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles. A trapezoid has only one parallel pair of sides. Both pairs of opposite sides of a parallelogram must be parallel.

The shape of the required quadrilateral is attached with the answer below.

To know more about quadrilaterals follow

https://brainly.com/question/16691874

#SPJ2

Write this word sentence as an inequality.
A number y is greater than –8 and is at most –7.
Pleaseeee!!! Someone hurry!!!

Answers

Answer:

-8<y≤-7

.Step-by-step explanation:

7.99, -7.567854, -7.1, -7, but it COULD NOT be -8.

Using elimination method.
1:x+y=16
x-y=0

Answers

Answer:

x = 8 and y = 8

Step-by-step explanation:

Giving equations:

     x + y  = 16

     x - y = 0

Unknown:

Find the values of x and y= ?

Solution:

      x + y  = 16  ---- (i)

      x - y = 0   ------(ii)

Add i and ii:

      2x  = 16

         x = 8

Subtract i and ii;

         2y = 16

            y = 8

7x - 3x + 2 = 8x - 6


Answers

Answer:

x=2

Step-by-step explanation:

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Oh sorry about that im a 6th grader my older sister is in 7th but wish you luck on your quiz!

Which of the following points are correct for the equation (multiple answers)
Y = 3x + 2
(-1, -3)
(0,5)
(1,5)
(2-3)

Answers

Answer:

1,5 is your answer

Y=5 and X=1

Insert it in the equation

5=3(1)+2

5=3+2

5=5

Hence proved!

As an estimation we are told 5 miles is 8 km.
Convert 44 km to miles.

Answers

Answer:

44 km converte to miles is 27.3403.

Answer:

27,5 miles

Step-by-step explanation:

sooo, you need to see how many Miles Is 1km..

5:8= 0,625

So when we know 0,625 mile = 1km then

44x0,625 = 27,5

And the result is 27,5 miles

Shannon's little brother is 7 weeks old. She is exactly
3 years and 3 days older than he is. How old is Shannon in days?
Assume that a year is 365 days.

Answers

Answer:

1147 days

Step-by-step explanation:

3x365= 1095

7x7=49

1095+49+3=1147

So 7 weeks is 49 days right? So know we need to figure out how many days are in three years. (365 times 3) the answer is 1,095. Add that to 49. The answer is 1,144. Add three. The answer is 1,147.

- 2/3 × 3/5 + 5/2 - 3/5 × 1/6​

Answers

first start by multiplying:
-6/15 + 5/2 -3/30

then u can simplify the fractions, -6/15=-2/5 and -3/30=-1/10

-2/5 + 5/2 - 1/10, now find a common denominator in this case 10
-4/10 + 25/10 - 1/10

now add and subtract normally

answer:20/10 or 2

Answer:

2

Step-by-step explanation:

(-2/3 x 3/5) + 5/2 - (3/5 x 1/6)

-2/3 x 3/5 = -6/15 = -2/5 (simplified)

3/5 x 1/6 = 3/30 = 1/10 (simplified)

Changed equation: -2/5 + 5/2 - 1/10

-2/5 x 2 = -4/10

5/2 x 5 = 25/10

Changed equation: -4/10 + 25/10 - 1/10

Answer: 20/10 = 2 (simplified answer)

write 4.9 × 10^5 in standard form

Answers

Answer:

30.7

Step-by-step explanation:

Write , or = to make the statement true. 9.008 ___ 9.08

Answers

Answer:

9.008 < 9.08

Step-by-step explanation:

9.08 is greater because you compare the number 9 and 9 are the same, 0 and 0 still the same, but then 0 and 8 you know eight is greater. was this helpful enough

Carl is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points past the finish line. On Carl's map, the last water station is at − 27 1 4 −27 4 1 ​ minus, 27, start fraction, 1, divided by, 4, end fraction meters, and his family is watching him at 9 1 2 9 2 1 ​ 9, start fraction, 1, divided by, 2, end fraction meters. What does 0 00 meters represent?

Answers

Answer:

0 represents the start point

Step-by-step explanation:

Given

[tex]Before\ Finish\ Line = -27\frac{1}{4}[/tex]

[tex]After\ Finish\ Line = 9\frac{1}{2}[/tex]

Required

What does 0 represents

In a race; there's always a starting point, irrespective of the current position of the racer.

This position is always at the 0 point.

Hence:

The 0 meters represents the start point

Answer:

The finish line

Please please help meee

Answers

Answer:

<X= 111 , <Y= 69, <Z 111

Step-by-step explanation:

X and Z are corresponding

solve for Y

180-111= 69

ANSWER!!!!! PLEASE!!!!!! QUCKLY NOWWW!!!!
A candy manufacturing plant manufactures 18,000 pieces of candy in an 12 hour shift. The candy produced varies directly with the hours worked. How many pieces of candy can be manufactured in a 4 hour shift?

Answers

Answer:

6000 pieces of candy will be made in a 4 hour shift

Step-by-step explanation:

the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.

HW DUE IN A FEW MINS PLZ HELP ASAPPPPP

Answers

Step-by-step explanation:

sorry for too many pictures and I'm sorry for messing up other question numbers but that's that

hope u get it in time

Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+​

Answers

Alright waittt trade picsss omgggg this is a school website I’m just playing with you

In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them
play baseball. There are 6 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%

Step-by-step explanation:

1) Students playing atleast one sport = 28 - 6 = 22

2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)

N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4

3) Number of students playing both basketball and baseball = 4

Total number of students = 28

Probability of a student playing both basketball and baseball is 4/28

4/28= 0.1428571429 x 100%= 14.3%

Answer:4/28

Step-by-step explanation:4/28

m.c.m (3, 16, 2) ?? please help

Answers

B I got it on edg 2020 in may last year

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic = }{ \bf { \textcolor{orange}{mathematics = }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

M.C.M=

[tex] \bf \textcolor{red}{ \huge{48}}[/tex]

3-16-2|2

3-8-1 |2

3-4-1 |2

3-2-1 |2

3-1-1 |3

1-1-1

2⁴•3

M.C.M=

2•2=4

2•2=4

4•4=16

16•3=48

[tex] \bf \textcolor{green}{ \underbrace{48}}[/tex]

xLasersx✨

#2: Tell whether the function below is linear or exponential.
y = 4 • 2^x


Answers

O Linear
O Exponential

Answers

Answer:

Exponential

Step-by-step explanation:

For this question you need to understand what is a linear function and what is an exponential function.

Linear function is a function where any variable x,y,z has the power of maximum 1 for example

x+y=1

7x+2y=10

1000x+9999y=40000

The numbers look too big but its the same category as linear function because all the variable in the equation are to the power of 1

Whereas, An exponential function is a mathematical function of the following form: [tex]y=a^x[/tex] where x is a variable, and a is a constant called the base of the function. Most commonly exponential functions are involved with mathematical symbol [tex]e[/tex].

So in your question [tex]y=4.2^x[/tex] where x the variable has become the power/degree the fucntion is an exponential function.

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