Determine the experimental probability of landing on a number greater than or equal to 4.

The table shows the results of tossing a number cube 50 times.

\begin{tabular}{|l|l|}
\hline Outcome & Frequency \\
\hline 1 & 9 \\
\hline 2 & 11 \\
\hline 3 & 8 \\
\hline 4 & 6 \\
\hline 5 & 9 \\
\hline 6 & 7 \\
\hline
\end{tabular}

[tex]$P(\text{number} \geq 4)=0.68$[/tex]

[tex]$P(\text{number} \geq 4)=0.44$[/tex]

[tex]$P(\text{number} \geq 4)=0.32$[/tex]

[tex]$P(\text{number} \geq 4)=0.06$[/tex]



Answer :

To determine the experimental probability of landing on a number greater than or equal to 4, we need to follow these steps:

1. Identify the Relevant Outcomes:
- The outcomes that are greater than or equal to 4 are 4, 5, and 6.

2. Look at the Frequencies:
- Frequency of 4: 6
- Frequency of 5: 9
- Frequency of 6: 7

3. Sum the Frequencies of Relevant Outcomes:
- Total frequency for outcomes 4, 5, and 6 combined:
[tex]\[ 6 + 9 + 7 = 22 \][/tex]

4. Total Number of Trials:
- From the table, the cube was tossed 50 times in total.

5. Calculate the Experimental Probability:
- The experimental probability is given by:
[tex]\[ P(\text{Outcome} \geq 4) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}} = \frac{22}{50} \][/tex]

6. Simplify the Fraction:
- Convert the fraction to a decimal to get the probability:
[tex]\[ \frac{22}{50} = 0.44 \][/tex]

Thus, the experimental probability of landing on a number greater than or equal to 4 is [tex]\(0.44\)[/tex].

Therefore, the correct answer is:
[tex]\[ P(z \geq 4) = 0.44 \][/tex]