It is currently 19 Sep 2019, 19:28

### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Author Message
TAGS:
Intern
Joined: 20 May 2019
Posts: 31
Followers: 0

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

00:00

Question Stats:

38% (01:31) correct 61% (00:56) wrong based on 13 sessions
Vladimir plays a game in which he reveals cards one-at-a-time from the top of a shuffled standard deck of cards (consisting of 52 cards total: 13 in each of the four suits clubs, diamonds, hearts, and spades). If Vladimir reveals a heart, he wins. If he reveals a diamond, the game continues. If he reveals a club or a spade, he loses. What is the probability that Vladimir wins the game?

A. 1/4

B.13/51

C. 4/13

D. 1/3

E. 1/2
[Reveal] Spoiler: OA
Manager
Joined: 08 Dec 2018
Posts: 94
Followers: 0

Kudos [?]: 34 [0], given: 30

diamond does not affect win/loss !
GRE Instructor
Joined: 10 Apr 2015
Posts: 2387
Followers: 78

Kudos [?]: 2358 [1] , given: 33

1
KUDOS
Expert's post
dvk007 wrote:
Vladimir plays a game in which he reveals cards one-at-a-time from the top of a shuffled standard deck of cards (consisting of 52 cards total: 13 in each of the four suits clubs, diamonds, hearts, and spades). If Vladimir reveals a heart, he wins. If he reveals a diamond, the game continues. If he reveals a club or a spade, he loses. What is the probability that Vladimir wins the game?

A. 1/4

B.13/51

C. 4/13

D. 1/3

E. 1/2

Awesome question!

One way to approach this question is to recognize that diamond cards have no effect on Vladimir winning or losing the game. When we get a diamond, we just move on to the next card.

So, if we remove all of the diamond cards from the deck, this will not alter the probability that Vladimir wins the game.

Once we remove all of the diamond cards from the deck, we have 39 cards remaining. 13 cards are hearts, 13 cards are clubs and 13 cards are spades.

At this point, the game will be won or lost on the FIRST DRAW.

So, P(Vladimir wins) = P(1st card is a heart) = 13/39 = 1/3

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Display posts from previous: Sort by