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The number of events in an exhaustive collection of equally likely outcomes that result in a particular occurrence divided by the total number of conceivable outcomes is known as Probability.

Let鈥檚 assume:

W =Respondents work during the summer vacation.

N = Respondents do not work during the summer vacation.

U = Respondents were unemployed.

Therefore, from the given data, we get:

$\begin{array}{l}\mathbf{W}\mathbf{=}\mathbf{61}\mathbf{\%}\\ \mathbf{N}\mathbf{=}\mathbf{22}\mathbf{\%}\\ \mathbf{U}\mathbf{=}\mathbf{17}\mathbf{\%}\end{array}$

The probabilities of work during the summer vacation:

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{W}\mathbf{\right)}\mathbf{=}\mathbf{61}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{61}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{61}\end{array}$

Hence, the Probability of who was working during summer vacation is0.61.

The Probability of respondents not working during the summer vacation:

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{N}\mathbf{\right)}\mathbf{=}\mathbf{22}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{22}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{22}\end{array}$

The Probability of respondent being unemployed:

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{U}\mathbf{\right)}\mathbf{=}\mathbf{17}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{17}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{17}\end{array}$

Therefore, the Probability of respondents does not work or being unemployed:

role="math" localid="1653479154719" $$\begin{gathered} \mathbf{P}\mathbf{(}\mathbf{do}\mathbf{}\mathbf{not}\mathbf{}\mathbf{work}\mathbf{}\mathbf{or}\mathbf{}\mathbf{unemployed}\mathbf{)}\mathbf{=}\mathbf{P}\mathbf{\left(}\mathbf{N}\mathbf{\right)}\mathbf{+}\mathbf{P}\mathbf{\left(}\mathbf{U}\mathbf{\right)} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{22}\mathbf{+}\mathbf{0}\mathbf{.}\mathbf{17} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{39} \end{gathered}$$

Hence, the probability of not working or being unemployed during summer vacation is0.39.