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If 2 different representatives are to be selected at random

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SVP
Joined: 28 May 2005
Posts: 1705
Location: Dhaka
If 2 different representatives are to be selected at random [#permalink]

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11 Nov 2005, 05:10
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If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p >1/2 ?
(1) More than 1/2 of the 10 employees are women.
(2) The probability that both representatives selected will be men is less than 1/10 .
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VP
Joined: 30 Sep 2004
Posts: 1480
Location: Germany

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11 Nov 2005, 06:03
E)...question is asking w/10*(w-1)/9>1/2 ? or w(w-1)>45 ?

1)...6 w(omen) NO...9 w(omen) YES...insuff

2) m(m-1)<9...4 m(en) and 6 w NO...1 m and 9 w YES...insuff

1)+2) same numbers...NO...YES
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Manager
Joined: 28 Jun 2005
Posts: 214

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11 Nov 2005, 07:05
one more E
St: 1
W=6,7,8,9, or 10
w=6,7 P(w)<1/2
w=8,9, or 10 p(w)>1/2
not suff

st2:
m=3,2,1 or 0 to satisfy the equation
m=3 p(w)<1/2
m=2,1,0 p(w)>1/2
not suff

1+2: m can be 3; so not suff
11 Nov 2005, 07:05
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