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# When two dice are thrown simultaneously, what is the

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Joined: 10 Nov 2004
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When two dice are thrown simultaneously, what is the [#permalink]

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01 Dec 2004, 16:47
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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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Manager
Joined: 07 Nov 2004
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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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Manager
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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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Senior Manager
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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

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01 Dec 2004, 18:06
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# When two dice are thrown simultaneously, what is the

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