233k views
5 votes
One digit of the decimal representation of 5/7 is randomly selected. what is the probability that the digit is a 4? express your answer as a common fraction.

User Thedanotto
by
7.1k points

1 Answer

5 votes

Explanation:

5/7 = 0.714285714285714285714...

what we see is that there is a group of 6 digits that keeps repeating in all eternity :

714285

4 is exactly one digit out of the 6.

so, bottom line, 1/6 of all the digits are 4s.

therefore, the probability to select a 4 is 1/6.

User Lorena
by
9.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories