If two cards are drawn at random from a deck of 52 cards

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Wed Nov 09, 2016 10:48 pm
If two cards are drawn at random from a deck of 52 cards, what is the probability that both the cards will be form the same suit?

a. 1/13 b. 2/51 c. 3/17 d. None of these

ans: d.

If 4y -3x = 5, what is the smallest integer value of x for which y > 100?

a. 130
b. 131
c. 132
d. 395

ans: c

can you explain why?

User avatar
Legendary Member
Posts: 2663
Joined: Wed Jan 14, 2015 8:25 am
Location: Boston, MA
Thanked: 1153 times
Followed by:128 members
GMAT Score:770

by DavidG@VeritasPrep » Mon Apr 17, 2017 12:28 pm
emdadul28 wrote:If two cards are drawn at random from a deck of 52 cards, what is the probability that both the cards will be form the same suit?

a. 1/13
b. 2/51
c. 3/17
d. None of these

ans: d.

can you explain why?
We know that there are four suits and that each suit contains 13 cards. That first pick can be anything. We just need the second pick to match. So say the first pick is a heart. There will be 12 hearts remaining and 51 total cards remaining, so the probability that the next selection is a heart would be 12/51 or 4/17.
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Mon Apr 17, 2017 5:43 pm
Hi emdadul28,

Are you actually studying for the GMAT? I ask because you've posted a number of questions that are not valid examples of GMAT Quant questions. If you are studying for the GMAT, then you should probably invest in more relevant testing materials. If you're not studying for the GMAT, then you should not be posting questions here that are not relevant to other GMAT Test Takers.

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image