All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Winning Ticket Tickle (Posted on 2014-10-06)
Gavin buys a lottery ticket, and in accordance with the rules he picks six different integers from through 1 to 46 inclusively. He chooses his numbers so that the sum of the base-ten logarithms of his six numbers is an integer.

By coincidence, the integers on the winning ticket have the same property - that is: the sum of the base-ten logarithms of the six numbers is an integer.

What is the probability that Gavin holds the winning ticket?

 No Solution Yet Submitted by K Sengupta Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: possible solution | Comment 2 of 6 |

Interesting idea, but two of the pairs have a digit in common: 5
So you'd have to erase one of these.  I'm not sure about the soundness of your logic otherwise, but if it holds the probability is actually 1/2=.5

 Posted by Jer on 2014-10-06 14:13:49

 Search: Search body:
Forums (0)