perplexus.info :: Probability : Powerful Couple

Powerful Couple (Posted on 2011-03-16)

(A) For a base ten positive integer P drawn at random between 10 and 99 inclusively, determine the probability that the first two digits (reading left to right) in the base ten expansion of 2^P is equal to P-1.

(B) For a base ten positive integer P drawn at random between 10 and 99 inclusively, determine the probability that the first two digits (reading left to right) in the base ten expansion of 6^P is equal to P-1.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(A) 1/30 (B) 1/30
For an explanation, refer to the solution submitted by Charlie in this location.

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

Subject	Author	Date
re: exploration turned up something strange	Ady TZIDON	2011-03-18 06:59:54
re(3): exploration turned up something strange	Charlie	2011-03-17 15:29:19
re(2): exploration turned up something strange	Jer	2011-03-17 13:58:24
re: exploration turned up something strange	Charlie	2011-03-16 15:41:49
exploration turned up something strange	Jer	2011-03-16 14:14:58
computer solution using Frink (spoiler)	Charlie	2011-03-16 13:08:32

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