SUMMARY
The probability of a person's birthday falling between January 20th and January 29th is calculated by dividing the number of favorable outcomes by the total number of outcomes in January. The total number of days in January is 31, while the favorable outcomes for the specified range are 10 (from the 20th to the 29th inclusive). Therefore, the probability is 10/31, making option A the correct answer. This analysis emphasizes the importance of clearly defining the problem and showing work to facilitate better guidance in mathematical discussions.
PREREQUISITES
- Basic Probability concepts
- Understanding of favorable vs. total outcomes
- Knowledge of calendar months and their respective days
- Ability to express fractions and simplify probabilities
NEXT STEPS
- Study the principles of conditional probability
- Learn about probability distributions and their applications
- Explore combinatorial methods for calculating probabilities
- Investigate real-world applications of probability in decision-making
USEFUL FOR
Students, educators, and anyone interested in enhancing their understanding of basic probability concepts and calculations.