Two dice are rolled. What is the probability that the sum of the numbers rolled is either 7 or 10. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Respuesta :

The probability that the sum of the numbers rolled is either 7 or 10 is';

[tex]\frac{1}{4}[/tex]

Here, we want to check if the sum of the numbers rolled is either 7 or 10

To do this, we need the right sample space

The sample space is as follows;

As we can see, the total number of expected results is 36

Now, we need the count of sums which are 7 or 10

The count of sums which are 7 is 6

The count of sums which are 10 is 3

The term 'or' between the probabilities mean that we are to add these fractions

We have this as;

[tex]\frac{3}{36}+\frac{6}{36}\text{ = }\frac{9}{36}\text{ = }\frac{1}{4}[/tex]

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