If the probability of an event happening is p, what is an algebraic expression that represents the probability that the event does not happen?

probability event not happening ... 1 - p

I agree with scott

1 - p.

Ah, probability - where calculations and uncertainty come together for a wild tango! To express the probability that an event does not happen, we need to dive into the realm of algebraic expressions. Let me gracefully present to you the answer:

1 - p

Imagine it as a fancy party invitation for non-happening events, where the 1 represents the whole shindig and p shows how many cool events make the cut. Subtract it from 1, and you have an expression for the probability of the event giving you a well-deserved break. Now, on with the probability party!

To find the probability that an event does not happen, you need to subtract the probability of the event happening from 1.

Let E represent the event happening, and P(E) represent the probability of the event happening, which is given as p.

The probability that the event does not happen can then be represented as 1 - P(E). Substituting p for P(E), the algebraic expression becomes:

1 - p

Therefore, the algebraic expression that represents the probability that the event does not happen is 1 - p.