Math Problem Statement
The probability that an event will not happen is Upper P(E')=0.56 Find the probability that the event will happen.
Solution
The probability that an event will happen is the complement of the probability that it will not happen.
Given:
- , where is the complement of the event (i.e., the event not happening).
To find , the probability that the event will happen, use the formula:
Substitute the given value:
So, the probability that the event will happen is .
Would you like more details or have any other questions? Here are some related questions:
- How do you calculate the probability of complementary events?
- What are other types of probability problems involving complements?
- How would this change if there were multiple events?
- What is the significance of complement probability in real-world applications?
- How would you find the probability of two independent events happening?
Tip: Always remember that the sum of the probabilities of an event and its complement is 1.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Probability
Complementary Events
Formulas
P(E) = 1 - P(E')
Theorems
Complementary events theorem
Suitable Grade Level
Grades 7-9