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A man uses a biased dice to decide whether to go ahead with a particul

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A man uses a biased dice to decide whether to go ahead with a particul  [#permalink]

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New post 17 Jul 2017, 23:05
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

72% (01:50) correct 28% (01:44) wrong based on 85 sessions

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A man uses a biased dice to decide whether to go ahead with a particular course of action. If the dice shows a prime number, he decided to go ahead with the course of action. What is the probability that the man goes ahead with the course of action? (The die is 6-sided with numbered from 1 to 6)

(1) The probability of the dice showing an even number is double the probability of it showing an odd number; all odd numbers are equally likely and all even numbers are also equally likely.

(2) The probability of the dice showing the number 1 is less than 1/6.

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Re: A man uses a biased dice to decide whether to go ahead with a particul  [#permalink]

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New post 18 Jul 2017, 06:37
Bunuel wrote:
A man uses a biased dice to decide whether to go ahead with a particular course of action. If the dice shows a prime number, he decided to go ahead with the course of action. What is the probability that the man goes ahead with the course of action? (The die is 6-sided with numbered from 1 to 6)

(1) The probability of the dice showing an even number is double the probability of it showing an odd number; all odd numbers are equally likely and all even numbers are also equally likely.

(2) The probability of the dice showing the number 1 is less than 1/6.


It should be A.

Statement 1: Sufficient

In light of this statement, we can assign probability 2 for even numbers 2,4,6 and 1 for odd numbers 1,3,5. Prime numbers 2,3,5 have combined probability of 2 + 1 + 1 = 4 from a total of 9 (6 for 3 evens and 3 for 3 odds).

Statement 2: Insufficient

It does not provide any information about the remaining numbers.
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Re: A man uses a biased dice to decide whether to go ahead with a particul   [#permalink] 18 Jul 2017, 06:37
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