Chapter 14, Problem 12CPE

To determine

Tofind: the probability for landing on black square and one of the four central square.

Answer to Problem 12CPE

The probability to land the dart on the black square is $\frac{1}{2}$ and The probability to land the dart on the four central square $\frac{1}{16}$ .

Explanation of Solution

Given information:

A dart thrown at a $64$ -square checkerboard lands on the board.

Calculation: to find the probability to land the dart on black square, divide the total black square by total squares,

$\begin{array}{l}\text{probability}=\frac{32}{64}\\ \text{probability}=\frac{1}{2}\text{ [divide]}\end{array}$

to find the probability to land the dart on one of the four central square, divide the four central square by total squares,

$\begin{array}{l}\text{probability}=\frac{4}{64}\\ \text{probability}=\frac{1}{16}\text{ [divide]}\end{array}$