Question

multiple choice: if the probability of getting a particular result in an experiment is 75.3%, what is the probability of not getting that result? explain your choice. (a) 75.3% + 100% (b) 75.3% - 100% (c) 100% - 75.3% (d) $\frac{1}{75.3%}$

Explanation:

Step1: Recall probability rule

The sum of the probability of an event occurring and the probability of it not occurring is 100% (or 1 in decimal - form).

Step2: Calculate non - occurrence probability

Let \(P(A)\) be the probability of the event occurring and \(P(\text{not }A)\) be the probability of the event not occurring. We know \(P(A)=75.3\%\), and \(P(A)+P(\text{not }A) = 100\%\). So \(P(\text{not }A)=100\% - P(A)=100\% - 75.3\%\).

Answer:

C. \(100\% - 75.3\%\)