If a six sided die is rolled three times, what is the : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 23 Jan 2017, 17:26

### 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
Your Progress

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

# If a six sided die is rolled three times, what is the

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 23 May 2008
Posts: 48
Followers: 0

Kudos [?]: 69 [0], given: 0

If a six sided die is rolled three times, what is the [#permalink]

### Show Tags

08 Sep 2008, 11:40
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 2 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number? (Princeton Review)
SVP
Joined: 07 Nov 2007
Posts: 1820
Location: New York
Followers: 34

Kudos [?]: 867 [0], given: 5

Re: Probability: Another 'die' question [#permalink]

### Show Tags

08 Sep 2008, 11:50
snowbirdskier wrote:
If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number? (Princeton Review)

probability of getting all evens = 1/2*1/2*1/2
probability of getting all odds = 1/2*1/2*1/2

p = 1- (1/8+1/8)
=3/4
_________________

Your attitude determines your altitude
Smiling wins more friends than frowning

Intern
Joined: 02 Sep 2008
Posts: 45
Followers: 0

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

Re: Probability: Another 'die' question [#permalink]

### Show Tags

08 Sep 2008, 11:59
I am also getting 3/4.

1) 2 even and 1 odd.

1/2 * 1/2 * 1/2 this will happen 3 times with 3 different position of odd number.

so it is 3/8.

2) 2 odd and 1 even

1/2 * 1/2 * 1/2 this will happen 3 times with 3 different position of even number.

so it is again 3/8

now adding 3/8 + 3/8 = 3/4.
Manager
Joined: 15 Jul 2008
Posts: 207
Followers: 3

Kudos [?]: 57 [0], given: 0

Re: Probability: Another 'die' question [#permalink]

### Show Tags

08 Sep 2008, 13:40
snowbirdskier wrote:
If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number? (Princeton Review)

two possibilities 2 odds 1 even or 2 evens 1 odd

2 odds out of 3 throws
3C2*(1/2)^3

same for 2 evens

so 2*3C2*(1/2)^3 = 3/4
Retired Moderator
Joined: 18 Jul 2008
Posts: 994
Followers: 10

Kudos [?]: 196 [0], given: 5

Re: Probability: Another 'die' question [#permalink]

### Show Tags

08 Sep 2008, 15:52
Why is there a need to subtract it from 1? Thanks.

x2suresh wrote:
snowbirdskier wrote:
If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number? (Princeton Review)

probability of getting all evens = 1/2*1/2*1/2
probability of getting all odds = 1/2*1/2*1/2

p = 1- (1/8+1/8)
=3/4
Intern
Joined: 23 May 2008
Posts: 48
Followers: 0

Kudos [?]: 69 [0], given: 0

Re: Probability: Another 'die' question [#permalink]

### Show Tags

15 Sep 2008, 14:51
bigfernhead wrote:
Why is there a need to subtract it from 1? Thanks.

x2suresh wrote:
snowbirdskier wrote:
If a six sided die is rolled three times, what is the probability of getting at least one even number and at least one odd number? (Princeton Review)

probability of getting all evens = 1/2*1/2*1/2
probability of getting all odds = 1/2*1/2*1/2

p = 1- (1/8+1/8)
=3/4

I believe it is because they are working the problem backwards. There is 1/8+1/8 of a chance or 1/4 chance that an odd or an even WILL NOT be rolled. (Which is the opposite of what the question is asking). 1 is a 100% chance that something will happen so 1 - the certainty that it will NOT happen = the probability that at least one even and one odd will be rolled...make sense?
Retired Moderator
Joined: 18 Jul 2008
Posts: 994
Followers: 10

Kudos [?]: 196 [0], given: 5

Re: Probability: Another 'die' question [#permalink]

### Show Tags

16 Sep 2008, 06:27
Got it! Got me confused since 1/2 is also the probably of odds/even or not odds/even.

snowbirdskier wrote:
bigfernhead wrote:
Why is there a need to subtract it from 1? Thanks.

I believe it is because they are working the problem backwards. There is 1/8+1/8 of a chance or 1/4 chance that an odd or an even WILL NOT be rolled. (Which is the opposite of what the question is asking). 1 is a 100% chance that something will happen so 1 - the certainty that it will NOT happen = the probability that at least one even and one odd will be rolled...make sense?
SVP
Joined: 17 Jun 2008
Posts: 1569
Followers: 11

Kudos [?]: 250 [0], given: 0

Re: Probability: Another 'die' question [#permalink]

### Show Tags

18 Sep 2008, 00:16
if e represents even and o odd then,

favorable outcome would be
eeo
eoe
oee

ooe
oeo
eoo

i.e. a total of 6.

and total outcome will be the above 6 plus eee and ooo.

Hence, probability = 6/8 = 3/4.
Re: Probability: Another 'die' question   [#permalink] 18 Sep 2008, 00:16
Display posts from previous: Sort by

# If a six sided die is rolled three times, what is the

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.