Let A be the set of numbers in the interval [0, 1] that have the digit “0” in the first, second or third place in their decimal expansion

71 Views Asked by Bumbble Comm At 30 Mar 2026 - 12:22

MY QUETION:

Let A be the set of numbers in the interval [0, 1] that have the digit “0” in the first, second or third place in their decimal expansion.

Show that A belongs to the σ-algebra generated by the intervals.

Find m(A), where m denotes Lebesgue measure.

Anyone willing to give any help/advise/pointers on how to complete ?