Question

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.
?
]

Answer 1

1/6

Explanation:

Answer 2

`Probability(sum7)=(4)/(24)=(1)/(6)`

Explanation:

• 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:
  `(1,6),(2,5),(3,4),(4,3)`
• So 4 outcomes out of a possible 24 outcomes have this quality
• That's
  `Probability(sum7)=(4)/(24)=(1)/(6)`