Kellie randomly chooses a number from 1 to 10. What is the probability she chooses a number less than 3?
A. $\frac{4}{5}$
B. $\frac{1}{5}$
C. $\frac{2}{9}$
D. $\frac{3}{10}$
Answer (1)
Total possible outcomes: 10.
Favorable outcomes (numbers less than 3): 2.
Probability = 10 2 = 5 1 .
The probability is 5 1 .
Explanation
Understand the problem Kellie randomly chooses a number from 1 to 10. We want to find the probability that the chosen number is less than 3.
Determine total outcomes The numbers Kellie can choose from are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. So, the total number of possible outcomes is 10.
Determine favorable outcomes The numbers less than 3 are 1 and 2. So, the number of favorable outcomes is 2.
Calculate the probability The probability of choosing a number less than 3 is the number of favorable outcomes divided by the total number of possible outcomes. Therefore, the probability is 10 2 , which simplifies to 5 1 .
State the final answer The probability that Kellie chooses a number less than 3 is 5 1 . So the answer is B.
Examples
Imagine you're playing a game where you need to roll a standard 10-sided die and want to know the chance of rolling a number less than 3. This probability calculation helps you understand your odds of success in the game.
