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# When two dice are thrown simultaneously, what is the

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When two dice are thrown simultaneously, what is the [#permalink]

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01 Dec 2004, 16:47
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

When two dice are thrown simultaneously, what is the probability that the sum of the two numbers that turn up is less than 11?

(1) 5 / 6 (2) 11 / 12
(3) 1 / 6 (4) 1 / 12
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01 Dec 2004, 17:11
11/12

36 possible outcomes

P(11, that is either [5,6] or [6,5]) = 2/36.
P(12, that is [6,6]) = 1/12
hence P(11 or 12) = P(sum>= 11) = 3/36 = 1/12

P(sum<11) = 1 - P(sum>=11) = 1 - 1/12 = 11/12
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01 Dec 2004, 17:16
2 )....

explanation P(Sum < 11) = 1-P(Sum >= 11)

P(Sum > = 11) = 3/36

Fav. outcome = 3
as it could be (5,6) (6,5) (6,6)

tot outcome = 36 (6 *6)
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01 Dec 2004, 18:06
33 out of 36 combinations have a sum less than 11.
probability =33/36 =11/12
01 Dec 2004, 18:06
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