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# Two fair dice are rolled together -- what is the probability

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CEO
Joined: 15 Aug 2003
Posts: 3469
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Kudos [?]: 702 [0], given: 781

Two fair dice are rolled together -- what is the probability [#permalink]  02 Oct 2003, 12:24
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Two fair dice are rolled together -- what is the probability of having the sum of their points even?

Just trying out a different way.

We have a total of 36 outcomes

favorable:
ODD + ODD = EVEN
EVEN + EVEN = EVEN

3P1 * 3P1 = 9 ( three odds on first dice, three odds on second dice)
3P1 * 3P1 = 9 (three evens on first dice, three evens on second dice)

So total favorable 18

Prob = 18/36 =1/2

Is it ok?

thanks
praetorian
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Joined: 03 Feb 2003
Posts: 1608
Followers: 6

Kudos [?]: 76 [0], given: 0

Since your dice are fair, since you have equal number of odd and even integers, and since two out of four sums are OK for you, this problem is perfectly symmetrical. P=1/2 due to this symmetry.
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