Find modelling the rules of a game

Reference no: EM13121445

Modelling the Rules of a Game

Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far. The first player repeats this move. They continue this way. The player who makes the score exactly 100 wins.

A. Play the game and figure out a strategy for always winning as the first player.

B. Change the rules so that the goal is 200 and numbers from 1 to 20 can be used.

C. Change the rules so that the goal is 200 and numbers from 5 to 20 can be used.

D. Change the rules so that the goal is 200 and numbers from 3 to 30 can be used.

E. Give a general rule for winning the game if g is the goal and whole numbers from p to q (p<q) can be used.

But the only strategy I could figure out is that you want player 2 to always end up with a number 1 higher than the maximum amount they can put. Comming up with a strategy without playing the game and what is it for parts A-D.

Reference no: EM13121445

Questions Cloud

Calculate the mass percent of a solution : Calculate the mass percent of a solution that is prepared by adding 35.9 gram of NaOH to 30.2 g of H2O.

What critical thinking skills could use : David and Susan have been married for about eight months. Sometimes when David forgets to perform even the most rudimentary chore, Susan gets upset and says, “You always forget to take out the trash!” David gets upset and replies, “Just like a woman!..

Write strengths and weaknesses of nonparametric tests : What are the strengths and weaknesses of nonparametric tests? Can the outcomes of the nonparametric tests be generalized to populations?

Franks shares of stock : Emily, one hundred (100) shares of stock and Frank, four hundred (400) shares of stock. Wren Corporation redeems one hundred fifty (150) of Frank's shares of stock (Adjusted Basis of $60,000) for $150,000. As a result of this transaction, which of..

Find modelling the rules of a game : Modelling the Rules of a Game. Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far..

What are the end products of glycolysis : According to the fluid-mosaic model of cell membranes, which of the following is a true statement about membrane proteins?

What mass (in kg) of rain falls on the lawn in 3.0 h : If a raindrop weighs 53 mg on average and 5.1 105 raindrops fall on a lawn every minute, what mass (in kg) of rain falls on the lawn in 3.0 h.

Create confidence intervals for population variance : Assume the sample is taken from a normally distributed population. Construct 98% confidence intervals for (a) the population variance o2 and (b) the population standard deviation.

Windows or linux : Using what you learned in Lessons 1 and 2 as well as in this lesson, write a well-developed Argumented essay on 4 Windows or Linux. Your essay, which must demonstrate your understanding of the process analysis essay, will be graded using the fo..

User Account

All Pages