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Winning Ticket Tickle (Posted on 2014-10-06) Difficulty: 3 of 5
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 |
(In reply to possible solution by Ady TZIDON)

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

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