What is the probability of rolling a sum of 12 on a standard pair of six-sided dice? express your answer as a fraction or a decimal number rounded to?

Respuesta :

the only way to get 12 is to have both dice land on 6

 there is a 1/6 probability for once die to land on 6

 so 1/6 x 1/6 = 1/36 probability of rolling a 12


Answer:

1/36

Step-by-step explanation:

Each dice can take 6 values and if we roll two dices the values are independent from each another. All the possible combinations are 6 × 6 = 36.

There is only one way of rolling a sum of 12, which is that each dice takes the value 6.

The probability of rolling a sum of 12 is:

[tex]P(12)=\frac{favorable\ cases }{possible\ cases} =\frac{1}{36}[/tex]