0 votes
in Statistics and probability by (199 points)
closed by

What is the probability that 4th power of an integer chosen randomly ends with the digit 6.

1 Answer

+2 votes
by (21.5k points)
selected by
Best answer

The final digit of any power of an integer relies solely on the final digit of the original integer itself.

We have the following:

Since each final digit of the original integer is equally likely, the probability that the fourth power of a randomly selected integer being 6 will be 

#of choices that lead to final digit being 6 / #of choices regardless = 4/10 = 40 % 

by (199 points)
edited by
Can you just explain the above table in detail

Related questions

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.