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Three dice are thrown together. Find the probability of getting a

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Intern
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Joined: 13 Aug 2018
Posts: 25
Three dice are thrown together. Find the probability of getting a  [#permalink]

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New post 25 May 2019, 04:33
2
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

60% (03:08) correct 40% (02:06) wrong based on 20 sessions

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Three dice are thrown together. Find the probability of getting a total of at least 6?

A. 5/108
B. 103/216
C. 10/108
D. 5/36
E. 103/108
Intern
Intern
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B
Joined: 20 Apr 2019
Posts: 17
Re: Three dice are thrown together. Find the probability of getting a  [#permalink]

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New post 25 May 2019, 06:35
jackfr2 wrote:
Three dice are thrown together. Find the probability of getting a total of at least 6?

A. 5/108
B. 103/216
C. 10/108
D. 5/36
E. 103/108



There are 6 possible values for each dice, so the total number of events is 6^3 = 216
P=1-P when looking at P(sum < 6)
There are ten events in which the outcome is less than 6: (1,1,1),(1,1,2),(1,2,1),(2,1,1),(1,1,3),(1,3,1),(3,1,1),(1,2,2),(2,1,2),(2,2,1)
So, P (sum < 6) = 10/216
P (sum > 6) = 1-(10/216) = 103/108


Answer E is therefore correct
GMAT Club Bot
Re: Three dice are thrown together. Find the probability of getting a   [#permalink] 25 May 2019, 06:35
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Three dice are thrown together. Find the probability of getting a

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