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

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 class=

Respuesta :

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]

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