SUMMARY
The probability that a carton of eggs contains at least one cracked egg is 0.04, leading to a probability of 0.96 that the carton is fine. The solution involves understanding that the sum of the probabilities of all possible outcomes equals 1. Therefore, if the probability of having at least one cracked egg is 0.04, the probability of having no cracked eggs is 1 - 0.04, which equals 0.96. This fundamental principle of probability is crucial for solving similar problems.
PREREQUISITES
- Basic probability concepts
- Understanding of complementary events
- Knowledge of probability equations
- Familiarity with probability distributions
NEXT STEPS
- Study the concept of complementary probabilities in depth
- Learn about probability distributions and their applications
- Explore real-world examples of probability in decision-making
- Practice solving problems involving sums of probabilities
USEFUL FOR
Students studying probability theory, educators teaching statistics, and anyone interested in understanding basic probability concepts and their applications.