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# From a set of cards numbered 1 to 20 a card is drawn at

Author Message
Manager
Joined: 27 Jul 2003
Posts: 122
Location: Singapore
From a set of cards numbered 1 to 20 a card is drawn at [#permalink]

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09 Oct 2003, 23:16
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

From a set of cards numbered 1 to 20 a card is drawn at random. Find the probability that the number is
a. is divisible by 4
b. is greater than 15
c. is divisible by 4 and greater than 15
If the card is divisible by 4 and it is not replaced, find the probability that
d. the second card drawn is even
SVP
Joined: 03 Feb 2003
Posts: 1604

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14 Oct 2003, 00:16
a. 5 such numbers, so P=5/20=1/4
b. 5 such numbers, so P=5/20=1/4
c. 2 such numbers, so P=2/20=1/10
d. one even from 10 initial is out, so P=9/19
SVP
Joined: 30 Oct 2003
Posts: 1790
Location: NewJersey USA

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01 Jan 2004, 09:45
Hi stolyar,

Shouldn't the probability of the last question be
5/20 * 9/19
( Probability that card is divisible by4 ) * ( probability that card is even )

if this is not correct then please provide an explaination. It is so frustrating that araspai has not posted the answer.
GMAT Instructor
Joined: 07 Jul 2003
Posts: 770
Location: New York NY 10024
Schools: Haas, MFE; Anderson, MBA; USC, MSEE

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02 Jan 2004, 20:04
anandnk wrote:
Hi stolyar,

Shouldn't the probability of the last question be
5/20 * 9/19
( Probability that card is divisible by4 ) * ( probability that card is even )

if this is not correct then please provide an explaination. It is so frustrating that araspai has not posted the answer.

No. We are already GIVEN that the first card is divisible by 4. Hence, it already happened with probability 1.
_________________

Best,

AkamaiBrah
Former Senior Instructor, Manhattan GMAT and VeritasPrep
Vice President, Midtown NYC Investment Bank, Structured Finance IT
MFE, Haas School of Business, UC Berkeley, Class of 2005
MBA, Anderson School of Management, UCLA, Class of 1993

02 Jan 2004, 20:04
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