Example 4.1.9 A and B throw with one die for a stake of Rs 44, which is +be won by the player who first throws 6. If A has the first throw, what amtheir respective expectations?

Answered: Example 4.1.9 A and B throw with one…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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(Ch5.4 #13) The probability of triplets in human births is approximately 0.001. Whats the probability that there will be exactly one set of triplets among 700 births in a large hospital?
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1. ABC inc. stock is currently selling for $30, one year from today the stock price can either increase by 20% or decrease by 15%. The probability of an increase in the stock price is equal to 0.3. The one-year risk-free rate is 5% What is the value of a European put that expires in one year with an exercise price of $24. 2. Graphically, show the value and the profit and loss of the following butterfly position: Long in a call with an exercise price of $30, short in 2 calls with an exercise price of $45, and long in a call with an exercise price of 60. All calls are written on the same stock and have the same maturity. 3. "Early exercise of an American option on a stock that does not pay any dividend is not optimal regardless of whether the option is a Call or a Put". True, False, or Uncertain. Explain.
3. In how many ways can this diagram be coloured subject to the following two conditions? (i.) Each of the smaller triangle is to be painted with one of the three colours: White, black or blue. (ii.) No two adjacent regions have the same colour. If "C,, = "C,, then n is equal to %3D 4. If "P, = 840, "C, = 35, then r = 5. "C, + "C, - l"C,- l°C, = 6.

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Example 4.1.9 A and B throw with one die for a stake of Rs 44, which is to be won by the player who first throws 6. If A has the first throw, what an their respective expectations?