Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 7 with
these dice. Be sure to reduce.
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The dice form pairs of outcomes, so if the dice has repeating sides then the set of outcomes will be pairs of elements from the set {1,2,3,4} and {1,3,4,5,6,8}. T
he number of possible two pair combinations is 4 times 6 which equals 24 possible pairs.
Now we find which of these pairs would have values summing up to 7: [tex](1,6),(2,5),(3,4),(4,3)[/tex]
So 4 outcomes out of a possible 24 outcomes have this quality
