Please help me ISI QUESTION

[SINGHAM]

 Let X be the set of positive integers denoting the number of tries it takes the Indian
cricket team to win the World Cup. The team has equal odds for winning or losing
any match. What is the probability that they will win in odd number of matches?

 I even don't understand the question itself!

Please say me why we have answer 2/3 ?

[L14]

Hi Singham,
If they win in an odd pattern, it'll look like
W, LLW ,LLLLW....
So the corresponding probabilities are
0.5, 0.5^3 ,0.5^5....
sum of gp till infinity with r=0.5^2
Ans=3/4.

[SINGHAM]

Thank you, ben10! but answer is 2/3 only. i think you made a little mistake while summing GP

[aman]

W, LLW, LLLLW,......... THIS MEANS , (1/2) + (1/2)^3 + (1/2)^5 + ....... = (1/2)(1 + (1/2)^2 + (1/2)^4 + .......) = (1/2) * (1/(1-1/4)) = 1/2 * 4/3 = 2/3..

[SINGHAM]

Thank you. Please help me with this:

 If f(x) is a real valued function such that
2f(x) + 3f(−x) = 55 − 7x,
for every x ∈ R, then f(3) equals

[SoniaKapoor]

2f(x)+3f(-x)=55-7x..................1
substitute -x in place of x
2f(-x)+3f(x)=55+7x..................2

MULTiply eqn 1 by2 and eqn 2 by 3
4f(x)+6f(-x)=110-14x
9f(x)+6f(-x)=165+21x

eliminating f(-x)

solving we get f(3) as 32

[neha 1]

Hi
pls help me with ques 1(b) ME 2(economics),2007
is this answer correct
if X is less than 500 he attends classical if x=500 he is indifferent
if X is less than 500 he attends film music and dance shw.