The probability that a randomly chosen factor of \(10^{19}\) is a multiple of \(10^{15}\) is
Question and options
The probability that a randomly chosen factor of is a multiple of is
Answer and explanation
Correct answer: D - \(\frac{1}{16}\)
10^19=2^19*5^19 has 20*20=400 factors. Multiples of 10^15 are 2^a*5^b with 15<=a,b<=19: 5*5=25. Probability 25/400=1/16.
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