Figure shows the top view of an open square box that is divided into 6 compartments with walls of equal height. Each of the rectangles D,E,F has twice the area of each of the squares A,B,C.When a marble is dropped into the box at random, it falls into one of the compartments. What is the probability that it will fall into compartment F?
Answers
Given : an open square box that is divided into 6 compartments with walls of equal height
Each of the rectangles D,E,F has twice the area of each of the squares A,B,C.
a marble is dropped into the box at random, it falls into one of the compartments.
To Find : probability that it will fall into compartment F
Solution:
Let say Area of a square = A
then Area of Each Rectangle = 2A
Area of 3 Squares A, B & C = 3A
Area of 3 Squares rectangles D,E,F = 3(2A) = 6A
Total Area = 3A + 6A= 9A
Area of F (rectangle) = 2A
probability that dropped marble will fall into compartment F = 2A/9A
= 2/9
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Step-by-step explanation:
answer is in the photo attached
