a palindrome is a number like 252, which reads the same forward and backward if the digits 1,1,1,2 and 2 are randomly ordered to form a five digit integer what is the probability the resulting integer is a palindrome express your answer as a common fraction

The probability that the resulting integer is a palindrome is 1/5, or 0.2 expressed as a decimal.

The five-digit number must take the form of XY2YX in order for the given digits (1,1,1,1,2,2) to create a palindrome.

There are two instances to think about:
1) X=1 and Y=1:

In this case, the integer will be 21112.
2) X=1 and Y=2:

In this case, the integer will be 12121.
There are a total of 5! (5 factorial) ways to arrange the digits (1,1,1,2,2).

To calculate the total number of ways to arrange the digits 1, 1, 1, 2, and 2, we can use the formula for permutations with repetition:

n! / (r1! * r2! * ... * rk!)
Total arrangements = 5! / (3! * 2!) = 120 / (6 * 2) = 10
Only 2 of these 10 potential combinations result in palindromes.

There are precisely 2 options for B (specifically, 0 and 5) that make the number ABB divisible by 5 out of the total of 10 options for A and 10 options for B.

As a result, there are two possibilities for the digits ABB to divide the total number by 5.

This means that there are a total of 50 six-digit palindromes of the type 5ABBA5 that are divisible by 55.

As a result, the likelihood of a palindrome is:
Probability = (Number of palindromes) / (Total arrangements)

P(palindrome) = 2 / 10

P(palindrome) = 1/5

There are only two palindromes that can be formed using the digits 1, 1, 1, 2, and 2. They are 12121 and 21112.

For similar question on probability:

https://brainly.com/question/32004014

#SPJ11

Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?

Can any one help me out

Jon deposits $2000 into his account and pays at a rate of 4% per year. how much will he be paid in 3 years

9. Which points are on the graph with the equation -6x + y = 6. Select all that apply.
A. (0,6)
B. (6,2)
C (-1,0)
D. (-2, 3)



Please answer

please help and quick cause im giving a lot of points

PLEASE HELP ASAP, GIVING BRAINLIEST TO CORRECT ANSWER
The vertices of parallelogram ABCD are (2,4), B(0, 0), C(6,2), and D(8, 6). Find the coordinates of the intersection of the diagonals.

Triangles are similar Find the value of x.
Please i need help Thank you in advanced ​

Please answer will give brainlyest! :D

Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him. Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below. Let A AA be the event that Mark's little brother selects an outfit with black slacks and B BB be the event that he selects an outfit with a blue shirt. What is P ( A or B ) P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with black slacks or an outfit with a blue shirt? Shirt Slacks Tie Outfit 1 11 Blue Black Red Outfit 2 22 Blue Grey Red Outfit 3 33 White Black Red Outfit 4 44 White Grey Red Outfit 5 55 Black Black Red Outfit 6 66 Black Grey Red

Each pair of polygons is similar. Find each missing side measure. two polygons 12 on top 5 on bottom second polygon 48 on top x on bottom

Write a similarly comparing the three triangles in the diagram

hi help again lol :)​

O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?

-3/2
-2/3
3/2
2/3

It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if you go by way of Baxter?​

A recipe calls for 4 spoons of sugar for every 40g of flour if 240g of flour is used how much sugar would be needed​

Great now I need help with another math problem!! Someone pls help me!!

what's
[tex](4 \sqrt{2} ) {}^{2} [/tex]
​

Classify the triangle 3 8 12

3
Gürkan bisikletiyle birinci gün 3.1 km, ikinci gun 4.5 km ve puncu
gun 4.25 km yol almıştır Gürkan üç günde toplam kaç km yol aims
tir? Tahmin ediniz Tahmininizi işlem yaparak kontrol ediniz.
​

Given the expression below, identify its factors.

3a + 4b– 7c - 12

Simplify (3xy3141x?). Use ^ when identifying your exponents
My solution is:
??

What about the other way up the mountain though, this car park starts at 191m with a total ascent metres of 1,000(100 Contour lines). And the distance to the top is shorter at 4km. So leaving at 11am, what time would you be expected to get to the café with no breaks? Walking pace, 3km per hour.*

Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?

10 points possible. answer everything completely and I will mark brainliest

A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?

Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.

simplify
(in attachment)

A sum of money is divided between Mohan and Sohan in the ratio 5:7 . If Sohan's share is ₹665, find the total amount.​
please help me fast.

bob has at least $5000 in savings. his savings balance is more than 3 times greater than his checking balance

Evaluate the expression


[tex](3-1)^{3} +7(6)-5^{2}[/tex]

Determine if the two triangles are congruent.