1)Two sided dice or Old what is the probability that the sum of two numbers on the dice will be 6?

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1)Two sided dice or Old what is the probability that the sum of two numbers on the dice will be 6?

 

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Step 1

Sample space:

The set of all possible outcomes of a probability experiment is called sample space of the experiment.

Here, two fair dice are rolled.

The total number of outcomes in the sample space be n(S) = 62 = 36. That is, there will be 36 equally likely outcomes.

Outcomes will be occurred in ordered pairs. First number in each ordered pair represents the number on the first die and second number in each ordered pair represents the number on the second die. Each of the two numbers can take values 1 to 6.

The sum of the numbers on the dice will be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12.

The sample space for the experiment is given below:

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