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# What are the chances that a die will come up six on the fifth roll?

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Senior RC Moderator
Joined: 02 Nov 2016
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GPA: 3.39
What are the chances that a die will come up six on the fifth roll?  [#permalink]

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21 Jan 2020, 09:15
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Difficulty:

25% (medium)

Question Stats:

73% (00:43) correct 27% (01:23) wrong based on 22 sessions

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What are the chances that a die will come up six on the fifth roll?

(1) It is a normal six-sided die that is unbiased and always comes up either one, two, three, four, five, or six.

(2) The first four rolls came up six.

Source: Master GMAT

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Re: What are the chances that a die will come up six on the fifth roll?  [#permalink]

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21 Jan 2020, 14:35
1
What are the chances that a die will come up six on the fifth roll?

(1) It is a normal six-sided die that is unbiased and always comes up either one, two, three, four, five, or six.

(2) The first four rolls came up six.

Source: Master GMAT

The chance that you roll a six on any roll is the same, it has nothing to do with what you rolled beforehand. So what we really need is the chance of rolling six for the die, which is likely 1/6.

Statement 1:
The chance is 1/6, sufficient.

Statement 2:
Doesn't tell us anything about the die itself, insufficient.

Ans: A
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Re: What are the chances that a die will come up six on the fifth roll?   [#permalink] 21 Jan 2020, 14:35
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