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You randomly select two digits to create a two-digit number. The first digit cannot be 0. What is the probability that you create the number 39? Express your first answer as a fraction in simplest form, and round your percent answer to the nearest hundredth of a percent.

a. The probability is ___ , or about ____%.

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Final answer:

The probability of creating the number 39 by randomly selecting two digits to create a two-digit number, where the first digit cannot be 0, is 1/90 or about 1.11%.

Step-by-step explanation:

The probability of creating the number 39 by randomly selecting two digits to create a two-digit number, where the first digit cannot be 0, can be calculated as follows:

  1. There are a total of 90 possible two-digit numbers (excluding 00 to 09).
  2. Out of these 90 numbers, only 1 number is 39.
  3. Therefore, the probability of creating the number 39 is 1/90 when expressed as a fraction.
  4. When rounded to the nearest hundredth of a percent, the probability is approximately 1.11%.
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