GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 03 Jun 2020, 22:08

### 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

# A six-sided die with faces numbered one through six is rolled twice.

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 64242
A six-sided die with faces numbered one through six is rolled twice.  [#permalink]

### Show Tags

06 May 2019, 01:35
00:00

Difficulty:

15% (low)

Question Stats:

74% (00:51) correct 26% (00:58) wrong based on 84 sessions

### HideShow timer Statistics

A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the number 2 on it will not be facing upward on either roll?

A. 1/6
B. 2/3
C. 25/36
D. 17/18
E. 35/36

_________________
Senior Manager
Status: Current student at IIMB
Affiliations: IIM Bangalore
Joined: 05 Jul 2018
Posts: 438
Location: India
Concentration: General Management, Technology
Schools: IIM (A)
GMAT 1: 600 Q47 V26
GRE 1: Q162 V149
GPA: 3.6
WE: Information Technology (Consulting)
Re: A six-sided die with faces numbered one through six is rolled twice.  [#permalink]

### Show Tags

06 May 2019, 02:02
1
Probability of not getting a 2 on the first roll =5/6
Probability of not getting a 2 on the second roll =5/6

Probability of not getting 2 in either turn = 5/6 * 5/6 = 25/36

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 6306
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A six-sided die with faces numbered one through six is rolled twice.  [#permalink]

### Show Tags

06 May 2019, 04:48
Bunuel wrote:
A six-sided die with faces numbered one through six is rolled twice. What is the probability that the face with the number 2 on it will not be facing upward on either roll?

A. 1/6
B. 2/3
C. 25/36
D. 17/18
E. 35/36

P ( not getting 2 ) 1st roll; 5/6 and 2nd roll; 5/6
IMO 5/6*5/6 ; 25/36
IMO C
Manager
Status: Don't Give Up!
Joined: 15 Aug 2014
Posts: 97
Location: India
Concentration: Operations, General Management
GMAT Date: 04-25-2015
WE: Engineering (Manufacturing)
Re: A six-sided die with faces numbered one through six is rolled twice.  [#permalink]

### Show Tags

06 May 2019, 06:16
Probability of not getting 2 means getting any number other than 2....so the probability would be 5 numbers out of 6

5/6 * 5/6 = 25/36
Manager
Joined: 31 Oct 2018
Posts: 76
Location: India
Re: A six-sided die with faces numbered one through six is rolled twice.  [#permalink]

### Show Tags

06 May 2019, 07:51
can we do like this ----> 2 comes on both rolls i.e 1/6 * 1/6= 1/36

then substract this from 1 i.e 35/36.

sach24x7 wrote:
Probability of not getting 2 means getting any number other than 2....so the probability would be 5 numbers out of 6

5/6 * 5/6 = 25/36
Manager
Status: Don't Give Up!
Joined: 15 Aug 2014
Posts: 97
Location: India
Concentration: Operations, General Management
GMAT Date: 04-25-2015
WE: Engineering (Manufacturing)
Re: A six-sided die with faces numbered one through six is rolled twice.  [#permalink]

### Show Tags

06 May 2019, 09:18
btrg wrote:
can we do like this ----> 2 comes on both rolls i.e 1/6 * 1/6= 1/36

then substract this from 1 i.e 35/36.

sach24x7 wrote:
Probability of not getting 2 means getting any number other than 2....so the probability would be 5 numbers out of 6

5/6 * 5/6 = 25/36

You will have to add two more probabilities for 2 on first roll and 2 on second roll and then minus it from 1

Posted from my mobile device
Senior Manager
Joined: 15 Feb 2018
Posts: 453
Re: A six-sided die with faces numbered one through six is rolled twice.  [#permalink]

### Show Tags

05 Aug 2019, 01:00
1
Two ways to approach this:
1) Probability that a 2 it is not face up, 'P'
$$\frac{5}{6}*\frac{5}{6}=\frac{25}{36}$$

Straight forward

2) 1- Probability that a 2 is face up '1-P'
Probability two 2s
$$\frac{1}{6}*\frac{1}{6}=\frac{1}{36}$$

Probability 2 on the first die but not on the second
$$\frac{1}{6}*\frac{5}{6}=\frac{5}{36}$$

Probability 2 on the second die but not on the first
$$\frac{5}{6}*\frac{1}{6}=\frac{5}{36}$$

Sum these probabilities together: $$\frac{1}{36}+\frac{5}{36}+\frac{5}{36}=\frac{11}{36}$$

$$1-\frac{11}{36}=\frac{25}{36}$$
Re: A six-sided die with faces numbered one through six is rolled twice.   [#permalink] 05 Aug 2019, 01:00