perplexus.info :: Probability : Probable Ten Power

Probable Ten Power (Posted on 2009-10-06)

Determine the probability that for a positive base ten integer X drawn at random between 1 and 100 inclusively, the number 10^X is expressible as the product of precisely two positive integers, neither of which contains the digit zero.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

The probability is 1/10 as there are 10 values of x that work: 1, 2, 3, 4, 5, 6, 7, 9, 18 and 33.
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
Calculator Solution	Jim Keneipp	2009-10-06 15:55:32
computer solution	Charlie	2009-10-06 12:17:28

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