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\begin{tabular}{|c|c|c|c|c|}
\hline
Event & Experimental Probability (Enter as reduced fraction.) & Theoretical Probability (Enter as reduced fraction.) \\
\hline
Land on yellow & & \\
\hline
Land on blue and 3 & [tex]\(\frac{1}{10}\)[/tex] & [tex]\(\frac{1}{8}\)[/tex] \\
\hline
Land on blue or pink & [tex]\(\frac{4}{10}\)[/tex] & [tex]\(\frac{3}{4}\)[/tex] \\
\hline
Land on pink or odd number & [tex]\(\frac{6}{10}\)[/tex] & [tex]\(\frac{5}{8}\)[/tex] \\
\hline
Land on yellow and odd & 0 & 0 \\
\hline
\end{tabular}

Sagot :

GinnyAnswer
Let's go through each event step-by-step to provide the required probabilities:

1. Landing on yellow:
- This describes the probability of landing on a yellow segment.

Experimental Probability: [tex]\( \frac{2}{10} \)[/tex] (which can be reduced to [tex]\(\frac{1}{5}\)[/tex]).

Theoretical Probability: [tex]\( \frac{1}{8} \)[/tex].

So, the experimental probability of landing on yellow can be entered as [tex]\( \frac{1}{5} \)[/tex].

2. Landing on blue and 3:
- This describes the probability of landing on a blue segment that is also labeled with the number 3.

Experimental Probability: [tex]\( \frac{1}{10} \)[/tex].

Theoretical Probability: [tex]\( \frac{1}{8} \)[/tex].

3. Landing on a blue or a pink:
- This describes the probability of landing on either a blue segment or a pink segment.

Experimental Probability: [tex]\( \frac{4}{10} \)[/tex] (which can be reduced to [tex]\(\frac{2}{5}\)[/tex]).

Theoretical Probability: [tex]\( \frac{3}{4} \)[/tex].

4. Landing on a pink or an odd number:
- This describes the probability of landing on either a pink segment or any segment labeled with an odd number.

Experimental Probability: [tex]\( \frac{6}{10} \)[/tex] (which can be reduced to [tex]\(\frac{3}{5}\)[/tex]).

Theoretical Probability: [tex]\( \frac{5}{8} \)[/tex].

5. Landing on yellow and odd:
- This describes the probability of landing on a yellow segment that is also labeled with an odd number.

Experimental Probability: [tex]\( 0 \)[/tex].

Theoretical Probability: [tex]\( 0 \)[/tex].

Summarizing these results, the completed table would look like this:

[tex]\[ \begin{array}{|c|c|c|c|c|} \hline \text{Event} & \text{Write the probability} & \text{Experimental Probability} & \text{Theoretical Probability} \\ \hline \text{Land on yellow} & P(Y) & \frac{1}{5} & \frac{1}{8} \\ \hline \text{Landing on blue and 3} & B \text{ and } 3 & \frac{1}{10} & \frac{1}{8} \\ \hline \text{Landing on a blue or a pink} & B \text{ or } P & \frac{2}{5} & \frac{3}{4} \\ \hline \text{Landing on a pink or an odd number} & P \text{ or } \text{odd} & \frac{3}{5} & \frac{5}{8} \\ \hline \text{Landing on yellow and odd} & Y \text{ and } \text{odd} & 0 & 0 \\ \hline \end{array} \][/tex]
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