Question

name: date: show work neatly. answer word problems in complete sentences. highlight answers. 1 - 140. 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. 1/75.3%

Explanation:

Step1: Recall probability - not formula

The probability of an event not occurring is given by \(P(\text{not }A)=1 - P(A)\), where \(P(A)\) is the probability of the event \(A\) occurring.

Step2: Identify given probability

We are given that \(P(A) = 75.3\%\), which in decimal form is \(P(A)=0.753\).

Step3: Calculate non - occurrence probability

Using the formula \(P(\text{not }A)=1 - P(A)\), we substitute \(P(A) = 0.753\) into it. So \(P(\text{not }A)=1 - 0.753=0.247\), and in percentage form \(24.7\%\). The complement of \(75.3\%\) is \(100\% - 75.3\%=24.7\%\).

Answer:

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