perplexus.info :: Probability : Winning Ticket Tickle

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?

Submitted by K Sengupta

Rating: 4.0000 (2 votes)

Solution: (Hide)

The required probability is 1/4= 0.25
For an explanation, refer to:
The solution submitted by Ady TZIDON in this location.
The solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): computer aided solution	Charlie	2014-10-06 14:28:04
re: computer aided solution	Ady TZIDON	2014-10-06 14:24:55
re: computer aided solution -- whoops!; 50 is not under 46	Charlie	2014-10-06 14:23:44
computer aided solution	Charlie	2014-10-06 14:19:08
re: possible solution	Jer	2014-10-06 14:13:49
possible solution	Ady TZIDON	2014-10-06 13:04:49

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