Time Is Power!

     While taking a coffee break, my secretary, Sue, happened to glance at her digital watch. It showed the following time:

1 : 4 4

     "That's rather curious," she thought. "If I remove the two dots, I'll have the number 144, which is the square of 12. I wonder how likely that sort of thing happens during my workday?"

     Assuming that Sue works from 7 a.m. until 7 p.m., what is the probability that her watch will show a square number? Express your answer to the nearest hundredth of a percent.

     EXTRA: what is the probability that a cube, 4th power, 5th power, etc. will occur in addition to squares?

     SUPER-EXTRA: what is the probability for a power of any kind appearing on a watch set to a 24-hour day? (This means, times can range from 0:00 to 23:59. And "first" powers are not allowed throughout this problem.)

     HYPER-EXTRA: if we now use the "seconds" digits that appear on many watches, what is the largest square number that can occur? Largest cube?


Comments?
Send e-mail.
Back to topGo back to Home PageGo back to Contents
order generic viagra cheap generic viagra canada order generic viagra non prescription viagra canada non prescription viagra canada cheap generic viagra usa generic viagra online online viagra without perscription non prescription viagra usa viagra online non prescription generic viagra online cheap generic viagra canada viagra online non prescription viagra without perscription canada order generic viagra online order viagra canada order generic viagra canada non prescription viagra online order viagra canada order generic viagra viagra online non prescription order generic viagra online order generic viagra online viagra non prescription