GingerAle

She would have about 1500 dollars. Hardly wealthy.

However, if we, the members of web2.0calc, had a farthing for every wrong answer you gave, our wealth would exceed all that of the Earth since time immemorial.   

Yes, I’m going to claim my copyright. We chimps always climb down from our trees to collect any bananas we drop. But first we check to make sure that there isn’t a lion, tiger, or Bernoulli lurking in the bushes.  

It seems the monkey himself answered your question.

Good job AT! If you keep it up, I’ll give you a banana.

Sir CPill’s answer is right. Normally, in selecting combinations the order of selection is irrelevant.  (XY is the same as YX).

However

P(35000, 2) = 1,224,965,000

This implies the enumeration counts the order of selections in addition to the combinations. In other words, order matters.   The question should state that, if that is the case. If it does not, then none of the answer choices is correct. You should let your teacher know. 

This is an AOPS question. This presentation is an adaptation of Lancelot Link’s solution for a closely related question.

--------

This is question has a subtle contingency and requires two probability equations to solve.

For the Giants to win the series in game six, they need to win three games in five trials. This is a binomial distribution.

\(P(G\text{ win series in 6 games}) = \\ P(G \text{ wins 3 in 5})*P(G\text{ wins 6th game}) =\\ \binom{5}{3}(0.5)^3(0.5)^2 *(0 .5) = 0.15625\)

Further ... For the series to end in six games, either the Giants or the Royals must win the series in six games.

\(P(\text{Series ends on game 6})=P(G\text{ wins series on game 6})+P(R\text{ wins series on game 6}) \\ = 2P(G\text{ wins series on game 6}) \\ = (2)\binom{5}{3}(0.5)^3(0.5)^2 * (0.5) \\= \frac{5}{16}\)

The probability the Giants win the series in game 6  is 5/16.

GA

Edit: changed ASOP (the fabulist) to AOPS, (the fabled academy of higher mathematics).

I wondered the same ning, nyself.  It seems CPhill mas many halents.   

You have got to be kidding!

 Do you really expect Helperid to take your useless blarney and do anything with it? It doesn’t even make good fertilizer.  

Heureka gave helperid two bunches of fine bananas. Helperid is too lazy to peel them.

If he does decide to do anything –like posting an attempt at a solution, he needs to hurry, this post will auto-lock in less than 48 hours.

You could have posted this link

Alan’s presentation reminds me of the Schulze resolution or Condorcet voting.

(I’m not saying this is the name of his method, but there is a resemblance)

You can read about it here

Happy Birthday Hectictar!

Cphill and Mr. BB  are spot on. You are an asset and bright light on the forum. I too believe that you are this to everyone who knows you and for many others who do not.