IDNLearn.com is your go-to platform for finding reliable answers quickly. Our community is here to provide detailed and trustworthy answers to any questions you may have.
The probability of getting positive difference between the numbers 3 or greater between 1,2,3,4,5,6,7,8,9,10 if two numbers are selected is 28/45.
Given Numbers:{ 1,2,3,4,5,6,7,8,9,10}
We have to find the probability that the positive difference between the numbers selected is 3 or greater.
Probability is the likelihood of happening an event among all the events possible.
Total number of combinations when two numbers are selected from 10 numbers is 10 C 2=10!/2!(10-2)!
=10*9*8!/2*1(8!)
=10*9/2
=45 combinations
Combinations of numbers whose difference will be 3 or more are: (10,7),(10,6),(10,5),(10,4)(10,3)(10,2)(10,1)(9,6)(9,5)(9,4)(9,3)(9,2)(9,1)(8,5)(8,4)(8,3)(8,2)(8,1)(7,4)(7,3)(7,2)(7,1)(6,3)(6,2)(6,1)(5,2)(5,1)(4,1)
Total numbers =28
Probability=numbers/total combinations
=28/45
Hence the probability that two numbers selected gives difference of 3 or more is 28/45.
Learn more about probability at https://brainly.com/question/24756209
#SPJ4