**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.*

The probability of an event not happening is the complement of the probability of the event happening. The formula for the complement is:

\[
P(\text{not happening}) = 1 - P(\text{happening})
\]

Given the probability of the event happening is \( \frac{28}{83} \), we find the probability of it not happening by subtracting this from 1:

\[
P(\text{not happening}) = 1 - \frac{28}{83}
\]

To subtract, express 1 as \( \frac{83}{83} \):

\[
P(\text{not happening}) = \frac{83}{83} - \frac{28}{83} = \frac{83 - 28}{83} = \frac{55}{83}
\]

Thus, the probability of the event not happening is:

\[
\frac{55}{83}
\]

Would you like further details or clarifications?

Here are 5 related questions:
1. What is the complement rule in probability?
2. How do you calculate the probability of two independent events not happening?
3. If the probability of an event is given as a percentage, how can you convert it to a fraction?
4. What is the sum of probabilities of all possible outcomes in a sample space?
5. 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.

If the probability of a certain event is 28/83, what is the probability of the event not happening?

Learn how to calculate the probability of an event not happening when the probability of it happening is given as 28/83. This tutorial explains the complement rule, key formulas, and step-by-step solutions. Suitable for students in Grades 6-8.

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