Probability Quesion

Two balls are drawn in succession from a box containing 4 red and 2 white balls. a) What is the probability of drawing a red ball on the second draw if the first one is not put back in the box after it is drawn? b)What is the probability of drawing a red ball on the second draw if the first one is put back in the box after it is drawn?

Probability Question

Suppose you roll two fair dice a)what are the odds in favor of rolling a sum of 10? b) what are the odds against rolling a sum of 7 or 11? c) in part a, if you bet one dollar that a sum of 10 will turn up, what should the house pay (plus returning your one dollar bet) if a sum of 10 turns up for the game to be fair?

Word problem

You win the Zillion Dollar Lottery. Starting in 1 Year, you will receive$500,000 annually for 20 years. The states lottery commission has just enough in an account of 15% compounded annually to pay this annuity. How much money is in it today?] A treasury bill has a maturity value of $10,000 5 years from now. If I receive 5% interest on it, what do I pay for it now? I wish to by a CD stereo system. I want to collect $800 in 1 year. How much do I deposit monthly in an account that pays 5%compounded monthly? I take a car loan of $15000. I make monthly payments for 5 years at 6% compounded monthly. What is my monthly payment/ I put $1000 in a account that compound quarterly at 8%. ... click for more

Finite math

Compare the yields (effective raters) of 10%compounded daily and 10.2% compounded semiannually. Which would you chooses and why?

Catalan Numbers

Prove recurrence relationship of Catalan Numbers. Question: Let n be a non-negative integer. The number, x[n], of topologically distinct binary trees with n nodes can be shown to satisfy the following recurrence (x[0] = 1): See attached file for full problem description.