My Math Forum  

Go Back   My Math Forum > High School Math Forum > Probability and Statistics

Probability and Statistics Basic Probability and Statistics Math Forum


Thanks Tree1Thanks
  • 1 Post By tahirimanov19
Reply
 
LinkBack Thread Tools Display Modes
October 5th, 2019, 03:46 AM   #1
Senior Member
 
Joined: Dec 2015
From: somewhere

Posts: 734
Thanks: 98

Probability involving square numbers

Let $\displaystyle n\leq 111 \: $ , $\displaystyle n\in \mathbb{N} $.
Find the probability such that n is a square-number and odd .
$\displaystyle P(n=N^{2} )$=?

Last edited by idontknow; October 5th, 2019 at 04:09 AM.
idontknow is offline  
 
October 5th, 2019, 04:26 AM   #2
Senior Member
 
Joined: Mar 2015
From: Universe 2.71828i3.14159

Posts: 132
Thanks: 49

Math Focus: Area of Circle
Quote:
Originally Posted by idontknow View Post
Let $\displaystyle n\leq 111 \: $ , $\displaystyle n\in \mathbb{N} $.
Find the probability such that n is a square-number and odd .
$\displaystyle P(n=N^{2} \& n=1(mod 2) )$=?
All square numbers below 111:
$\sqrt{111} = 10.53565375285273884840140466189966747674770065972 434833044...$, therefore biggest square number below 111 is $100=10^2$. Therefore, there are 10 square number below 111.

1,4,9,16,25,36,49,64,81,100. There 10 square numbers below 111. And five of them is odd.

Therefore, $P(n=N^{2} \; \& \; n \equiv 1(mod 2) ) = 5/111$
Thanks from idontknow
tahirimanov19 is offline  
Reply

  My Math Forum > High School Math Forum > Probability and Statistics

Tags
involving, numbers, probability, square



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
concerning infinity as the limit involving square roots in the function Carl James Mesaros Calculus 2 November 17th, 2017 10:45 AM
Probability Questions Involving 64 Numbers EvanJ Advanced Statistics 0 December 5th, 2013 05:08 PM
Interesting algebra involving the square root of a summation roberthun Algebra 12 March 10th, 2013 02:14 PM
Series Involving Prime Numbers everk Real Analysis 2 September 5th, 2011 01:06 PM
System of equations involving square roots fantom.1040 Algebra 2 July 2nd, 2011 06:04 AM





Copyright © 2019 My Math Forum. All rights reserved.