Explanation:
The number of times the 6-sided number cube will be rolled will is
[tex]750[/tex]
Let the numbers greater than 4 be represented below as
[tex]E_1[/tex][tex]\begin{gathered} E_1=\lbrace5,6\rbrace \\ n(E_1)=2 \end{gathered}[/tex]
The number of sample space will be
[tex]n(S)=6[/tex]
The probability of rolling a number greater than 4 will be calculated below as
[tex]\begin{gathered} Pr(E_1)=\frac{n(E_1)}{n(S)} \\ Pr(E_1)=\frac{2}{6}=\frac{1}{3} \end{gathered}[/tex]
Hence,
To calculate the number of times a number greater than 4 will be rolled will be calculated below as
[tex]\begin{gathered} =Pr(E_1)\times750 \\ =\frac{1}{3}\times750 \\ =250times \end{gathered}[/tex]
Hence,
The final answer is
[tex]\Rightarrow250\text{ }times[/tex]
