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Draw and go (Posted on 2014-10-08) Difficulty: 3 of 5
A class, consisting of g girls and b boys receieved 2k promotional theatre tickets.
Given that b<2k and g<2k, what is the probability that within the group of theatre-goers there will be more girls than boys?

No Solution Yet Submitted by Ady TZIDON    
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re: short amendment | Comment 9 of 14 |
(In reply to short amendment by Ady TZIDON)

P(gs get 5 tkts)=C(14,5)*C(6,3)/C(20,14)

P(gs get 6  tkts)=C(14,6)*C(6,2)/C(20,14)

P(gs get 7  tkts)=C(14,7)*C(6,1)/C(20,14)

P(gs get 8  tkts)=C(14,8)*C(6,0)/C(20,14)

but

C(14,5)*C(6,3)/C(20,14) =   2002*20/38760 ~= 1.033023735810114


C(14,6)*C(6,2)/C(20,14)= 3003 *  15/38760 ~=1.16215170278638


etc.

all larger than 1.


  Posted by Charlie on 2014-10-11 22:32:53
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