Purchase Solution

Find the probability of a dart landing in one of three plane figures in a rectangular board.

Not what you're looking for?

Ask Custom Question

On a 12 by 20 rectangular board, three plane figures are drawn: a square 6 on a side , a circle with radius 4 and an equilateral triangle that is 8 on a side. If a dart is thrown that does hit the large rectangle what is the probabillity that it hits inside one of the three plane figures? (Landing on the side of a figure counts as being in the figure). Leave as a percent.

Purchase this Solution

Solution Summary

The probability of a dart landing in one of three plane figures in a rectangular board is found.

Solution Preview

Hello and thank you for posting your question to Brainmass!

The area of the board is Sb=22x20=240
The probability is the ratio of the specific shape's are to the total area of the board.

Think of it this way:
Divid the board to n little square with the same areas. Each square has the same probability to get hit:


But in every ...

Purchase this Solution

Free BrainMass Quizzes
Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts