find the probability that it bears a two digit number from numbers 1 to 100 it bears a two digit number

To find the probability that a randomly chosen number from 1 to 100 is a two-digit number, follow these steps:

1. **Determine the total possible outcomes:**  
   The total number of numbers between 1 and 100 (inclusive) is 100.

2. **Determine the number of favorable outcomes:**  
   A two-digit number is any number from 10 to 99.  
   So, the number of two-digit numbers is \(99 - 10 + 1 = 90\).

3. **Calculate the probability:**  
   The probability \(P\) of choosing a two-digit number is the ratio of favorable outcomes to total outcomes:
   \[
   P = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{90}{100} = 0.9
   \]
   Therefore, the probability of choosing a two-digit number is \(0.9\), or 90%.

### Final Answer:
The probability is **0.9** (or 90%).

Would you like further clarification or details on this? Here are 5 related questions:

1. What is the probability of selecting a number between 1 and 50 that is a two-digit number?
2. How do you calculate the probability of selecting a prime number from 1 to 100?
3. What is the probability of selecting a number divisible by 3 between 1 and 100?
4. How many three-digit numbers are there between 1 and 1000?
5. How would the probability change if we considered numbers from 1 to 150?

**Tip:** Always check the total number of favorable outcomes carefully when solving probability problems.

Find the probability that a randomly chosen number from 1 to 100 is a two-digit number.

Learn how to calculate the probability of selecting a two-digit number from the set of numbers 1 to 100. This problem involves basic probability principles and counting methods. Suitable for students in Grades 6-8.

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