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: computer aided solution -- whoops!; 50 is not under 46 | Comment 4 of 6 |
(In reply to computer aided solution by Charlie)

After deleting the lines containing 50, we're left with only four ways:

numbers         product
1 2 4 5 25 10     10000
1 2 5 25 10 40     100000
1 4 5 25 10 20     100000
1 5 25 10 20 40     1000000

So Gavin'g probability is 1/4.

 Posted by Charlie on 2014-10-06 14:23:44

 Search: Search body:
Forums (0)