It is currently 20 Sep 2017, 13:35

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# What is the probability of rolling three fair dice and having none of

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 41640

Kudos [?]: 124181 [0], given: 12075

What is the probability of rolling three fair dice and having none of [#permalink]

### Show Tags

06 Dec 2016, 11:09
Expert's post
2
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

85% (00:53) correct 15% (01:22) wrong based on 78 sessions

### HideShow timer Statistics

What is the probability of rolling three fair dice and having none of the three dice show a prime number?

A. 5/8
B. 1/8
C. 1/36
D. 1/108
E. 1/216
[Reveal] Spoiler: OA

_________________

Kudos [?]: 124181 [0], given: 12075

Math Forum Moderator
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 2991

Kudos [?]: 1049 [0], given: 325

Location: India
GPA: 3.5
Re: What is the probability of rolling three fair dice and having none of [#permalink]

### Show Tags

07 Dec 2016, 11:14
Bunuel wrote:
What is the probability of rolling three fair dice and having none of the three dice show a prime number?

A. 5/8
B. 1/8
C. 1/36
D. 1/108
E. 1/216

There are 3 non prime numbers in a dice - { 1, 4, 6 }
Probability of getting a Non Prime number in a single throw is = $$\frac{3}{6} = \frac{1}{2}$$

So, The probability of getting none of the three dice show a prime number is $$(\frac{1}{2})^3$$

Hence, answer will be (B) $$\frac{1}{8}$$
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Kudos [?]: 1049 [0], given: 325

Manager
Joined: 18 Jun 2017
Posts: 61

Kudos [?]: 2 [0], given: 166

Re: What is the probability of rolling three fair dice and having none of [#permalink]

### Show Tags

03 Aug 2017, 03:18
Probability of non prime nos to appear in 3 rolls
1-P(3 prime nos appear)=1-1/2*1/2*1/2=7/8.
So in that case probability of prime nos not to appear in 3 rolls
=1-7/8=1/8
Option B.

Kudos [?]: 2 [0], given: 166

Re: What is the probability of rolling three fair dice and having none of   [#permalink] 03 Aug 2017, 03:18
Similar topics Replies Last post
Similar
Topics:
19 A gambler rolls three fair six-sided dice. What is the probability 12 06 Jul 2016, 04:29
7 What is the probability of rolling two fair dice and having both dice 10 03 Aug 2017, 01:35
6 What is the probability of rolling three fair dice and having all thre 4 03 Aug 2017, 03:06
6 What is the probability of rolling three fair dice and having at least 4 03 Aug 2017, 02:59
What is the probability of rolling three fair dice and having all thre 1 06 Dec 2016, 10:48
Display posts from previous: Sort by