Question

Probability is a measure of how likely an outcome is to occur. Match one of the probabilities that follow each statement. Be prepared to defend your answer.

(a) This outcome is impossible. It can never occur.

(b) This outcome is certain. It will occur in every trial.

(c) This outcome is very unlikely, but it will occur once in a while in a long sequence of trials.

(d) This outcome will occur more often than not.

Short answer

Part (a) $0$ is never occur.

Part (b)$1$ occurs on every trail.

Part (c) $0.01$ will occur in about $1\%$ of trails.

Part (d) $0.6$ will occur more than not.

Step-by-step solution

Part (a) Step 1. Given Information

The table is

Part (a) Step 2. Concept

If an event happened Always and didn't happen in $B$ ways, the probability of it happening is $\frac{A}{A+B}$

$\frac{A}{A+B}$ is the chance of non-occurrence.

Part (a) Step 3. Calculation

Probability of occurrence = $\frac{A}{A+B}$ if an event occurred in $A$ ways but did not occur in $B$ways.

$\frac{B}{A+B}$ is the chance of non-occurrence.

Results are improbable $=0$

That is $0$ is never occur

Part (b) Step 1. Calculation

Probability of occurrence $=\frac{A}{A+B}$ if an event occurred in $A$ ways but did not occur in $B$ ways.

$\frac{B}{A+B}$ is the chance of non-occurrence.

Results are improbable $=1$

That is $1$ is occur on every trail

Part (c) Step 1. Calculation

Probability of occurrence $=\frac{A}{A+B}$ if an event occurred in $A$ ways but did not occur in $B$ ways.

$\frac{B}{A+B}$ is the chance of non-occurrence.

This conclusion is extremely uncommon, although it will happen once in a while in a lengthy series of experiments.

$$\begin{gathered} =0.01 \\ =0.01\times 100 \\ =1\% \end{gathered}$$

It means $0.01$ will occur in about $1\%$ of trails

Part (d) Step 1. Calculation

Probability of occurrence $=\frac{A}{A+B}$ if an event occurred in $A$ ways but did not occur in $B$ ways.

$\frac{B}{A+B}$ is the chance of non-occurrence.

The probability that follows this outcome will occur more than not$=0.6$

That means $0.6$ will occur more than not