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$Over a weekend, Braden counted the number of single scoop ice creams ordered at his store. He tracked the flavors and the day on which it was ordered. Saturday Sunday Chocolate 6 1 Vanilla 3 6 What is the probability that a randomly selected ice cream was not vanilla and was not ordered on a Saturday? Simplify any fractions. ◻$

Over a weekend, Braden counted the number of single scoop ice creams ordered at his store. He tracked the flavors and the day on which it was ordered. $\newline$ \begin{tabular}{|l|c|c|} $\newline$ \cline { $2$ - $3$ } & Saturday & Sunday \\ $\newline$ \hline Chocolate & $6$ & $1$ \\ $\newline$ \hline Vanilla & $3$ & $6$ \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ What is the probability that a randomly selected ice cream was not vanilla and was not ordered on a Saturday? $\newline$ Simplify any fractions. $\newline$ $\square$

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Probability of independent and dependent events

Full solution

Q. Over a weekend, Braden counted the number of single scoop ice creams ordered at his store. He tracked the flavors and the day on which it was ordered.

\newline

\begin{tabular}{|l|c|c|}

\newline

\cline {

2

-

3

} & Saturday & Sunday \\

\newline

\hline Chocolate &

6

&

1

\\

\newline

\hline Vanilla &

3

&

6

\\

\newline

\hline

\newline

\end{tabular}

\newline

What is the probability that a randomly selected ice cream was not vanilla and was not ordered on a Saturday?

\newline

Simplify any fractions.

\newline

\square

Identify Ice Creams: Now, let's find the number of ice creams that were not vanilla and not ordered on a Saturday. $\newline$ This means we only look at Chocolate on Sunday. $\newline$ Not Vanilla and Not Saturday = Sunday Chocolate $\newline$ Not Vanilla and Not Saturday = $1$
Calculate Probability: Next, we calculate the probability. $\newline$ Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ $\newline$ Probability = $\frac{\text{Not Vanilla and Not Saturday}}{\text{Total ice creams}}$ $\newline$ Probability = $\frac{1}{16}$
Check for Simplification: Finally, we check if the fraction can be simplified. $\frac{1}{16}$ is already in its simplest form, so we don't need to simplify it.

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