Chapter CSB1.13, Problem 3E

To determine

Probability that a randomly thrown dart will land in the shaded region.

Answer to Problem 3E

Probability that a randomly thrown dart will land in the shaded region is $P=0.4$

Explanation of Solution

Given:

The given figure is,

  

Here in the given figure,

The total number of squares are $n=20$

And total number of shaded squares are $n_1=8$

So,

Probability that a randomly thrown dart will land in the shaded region is,

  $\begin{array}{l}P=\frac{n_1}{n}=\frac{8}{20}\\ \Rightarrow P=0.4\end{array}$

Therefore, probability that a randomly thrown dart will land in the shaded region is

  $P=0.4$