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# What is the probability of getting at least one six in a

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VP
Joined: 13 Jun 2004
Posts: 1119
Location: London, UK
Schools: Tuck'08
Followers: 7

Kudos [?]: 31 [0], given: 0

What is the probability of getting at least one six in a [#permalink]  13 Mar 2005, 18:10
What is the probability of getting at least one six in a single throw of three unbiased dice?

(a) 1 / 6
(b) 125 / 216
(c) 1 / 36
(d) 91 / 216
(e) 11 / 38
GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 194 [0], given: 0

P(getting a 6) = 1/6
P(not getting a 6 on one throw) = 5/6
P (not getting a 6 on three throws) = 5/6*5/6*5/6 = 125/216

P(getting at least a 6) = 1-125/216= 91/216 <--- (D)
VP
Joined: 18 Nov 2004
Posts: 1441
Followers: 2

Kudos [?]: 22 [0], given: 0

One 6 = 3*25/6^3
Two 6 = 3*5/6^3
Three 6 = 1/6^3

p(e) = 91/6^3
Director
Joined: 21 Sep 2004
Posts: 612
Followers: 1

Kudos [?]: 9 [0], given: 0

atleast.. again the way i would go is "think minus 1"

P(not getting any 6 three times would be 125/216

1-125/216= 91/216
VP
Joined: 13 Jun 2004
Posts: 1119
Location: London, UK
Schools: Tuck'08
Followers: 7

Kudos [?]: 31 [0], given: 0

OA is 91/216
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