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Answer :

Let:

A = Rolling a number greater than 4 on both dices

The complement is:

A' = Not rolling a number greater then 4 on both dices

The probability is given by:

m/n

Where:

m = Number of favourables outcomes

n = Total number of outcomes

so:

[tex]P(A)=\frac{4}{36}=\frac{1}{9}[/tex]

The complement can be calculated as:

[tex]\begin{gathered} P(A^{\prime})=1-P(A) \\ P(A^{\prime})=1-\frac{1}{9}=\frac{8}{9}\approx0.889 \end{gathered}[/tex]

Answer:

Approximately 88.89%