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… Possible outcomes

The possible outcomes are all of the results that could occur from an
experiment.
List all of possible outcomes when rolling a die and the outcomes are 1, 2, 3,
4, 5, 6. Therefore there are 6 possible outcomes.

1 23456

There are 36 possible outcomes (6×6) when rolling two dice at the same
time.

(  1 , 1  ), (  1 , 2  ), (  1 , 3  ), (  1 , 4  ), (  1 , 5  ), (  1 , 6  ),
(  2 , 1  ), (  2 , 2  ), (  2 , 3  ), (  2 , 4  ), (  2 , 5  ), (  2 , 6  ),

6   6=36
(  6 , 1  ), (  6 , 2  ), (  6 , 3  ), (  6 , 4  ), (  6 , 5  ), (  6 , 6  )

Roll two dice at the same time to make the sum of the two rolled numbers
equal 6. There are 5 possible outcomes for the event.

(  1 , 5  ), (  2 , 4  ), (  3 , 3  ), (  4 , 2  ), (  5 , 1  )

Example 1 Roll two dice at the same time to make the sum of the two rolled

numbers equal 4. List all the possible outcomes to find the number of
possible outcomes for the event.

Example 2 Roll two dice at the same time to make the difference between the

two rolled numbers equal 3. List all the possible outcomes to find the
number of possible outcomes for the event.

51. Possible outcomes
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