Math Problem Statement
If the probability of a certain event is 28/83, what is the probability of the event not happening? Write all answers as simplified fractions.
Solution
The probability of an event not happening is the complement of the probability of the event happening. The formula for the complement is:
Given the probability of the event happening is , we find the probability of it not happening by subtracting this from 1:
To subtract, express 1 as :
Thus, the probability of the event not happening is:
Would you like further details or clarifications?
Here are 5 related questions:
- What is the complement rule in probability?
- How do you calculate the probability of two independent events not happening?
- If the probability of an event is given as a percentage, how can you convert it to a fraction?
- What is the sum of probabilities of all possible outcomes in a sample space?
- How does conditional probability affect the calculation of the complement?
Tip: Always ensure probabilities are expressed in the same form (fractions or decimals) when performing operations on them.
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Math Problem Analysis
Mathematical Concepts
Probability
Complement Rule
Formulas
P(not happening) = 1 - P(happening)
Theorems
Complement Rule in Probability
Suitable Grade Level
Grades 6-8