Chapter 4.3, Problem 37E

(a)

To determine

To find fraction of square hold pieces at start of game.

Answer to Problem 37E

Fraction of squarehold pieces= $\frac{3}{8}$

Explanation of Solution

Given information: Total Squares = 64, Total hold pieces = $12$ per team= $12\times 2=24$ .

Formula Used:

Fraction = $\frac{Pieces}{Squares}$

Calculation:

Fraction of square hold pieces= $\frac{Total\_Hold\_Pieces}{Total\_Squares}$ = $\frac{24}{64}$ = $\frac{3}{8}$ .

(b)

To determine

To findfraction of square hold pieces at end of game.

Answer to Problem 37E

Fraction after capture = $\frac{1}{8}$

Explanation of Solution

Given information: Total Squares = 64, Total hold pieces = $12$ per team = $12\times 2=24$ .

Formula Used:

Fraction = $\frac{Pieces}{Squares}$

Calculation:

Fraction after capture = $\frac{Total\_Pieces\_After\_Capture}{Total\_Squares}$

= $\frac{5+3}{64}$ = $\frac{1}{8}$ .