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notka56 [123]
3 years ago
5

When rolling two standard six-sided dice, what is the probability that the sum of the dice will be even or a multiple of 3? (sho

w your work)
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

2/3

Step-by-step explanation:

List all the possible sums.  If it helps, make a table:

\left[\begin{array}{ccccccc} &1&2&3&4&5&6\\1&2&3&4&5&6&7\\2&3&4&5&6&7&8\\3&4&5&6&7&8&9\\4&5&6&7&8&9&10\\5&6&7&8&9&10&11\\6&7&8&9&10&11&12\end{array}\right]

There are 36 total possible sums.  Of those, 18 are even, and 6 are odd but multiples of 3.

Therefore, the probability is:

P = (18 + 6) / 36

P = 24 / 36

P = 2 / 3

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