A standard pair of six sided dice is rolled what is the probability of rolling a sum less than 10 express your answer as a fraction or decimal number rounded to four decimal places

Explanation:
To solve this, we will use the table below
The total number of sample space is given below as
[tex]n(S)=36[/tex]The total number on the sum table of the two die that is less than 10 is
[tex]n(R)=30[/tex]From the image below, it can be indicated
Hence,
The probability of rolling a sum less than 10 will be
[tex]\frac{n(R)}{n(S)}=\frac{30}{36}=\frac{5}{6}[/tex]Hence,
The final answer is
[tex]\Rightarrow\frac{5}{6}[/tex]