Sure, let's solve this step-by-step.
First, we want to understand the problem: Kellie is choosing a number from 1 to 10. We need to find the probability that she chooses a number less than 3.
1. Determine the total number of possible outcomes.
The numbers Kellie can choose from are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. That gives us a total of 10 possible outcomes.
2. Identify the favorable outcomes.
The numbers less than 3 in this range are 1 and 2. So, there are 2 favorable outcomes.
3. Calculate the probability.
The probability [tex]\( P \)[/tex] of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
[tex]\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
\][/tex]
Substituting the values we have:
[tex]\[
P = \frac{2}{10}
\][/tex]
4. Simplify the fraction.
To simplify [tex]\(\frac{2}{10}\)[/tex], we divide both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[
\frac{2}{10} = \frac{2 \div 2}{10 \div 2} = \frac{1}{5}
\][/tex]
Thus, the probability that Kellie chooses a number less than 3 is [tex]\( \frac{1}{5} \)[/tex].
So, the correct answer is:
A. [tex]\( \frac{1}{5} \)[/tex]
