Question

A game has a rectangular board with an area of 44 in2. There is a square hole near the top of the game board in which you must not toss in a bean bag. The square has side lengths of 3 in. What is the probability of not tossing the bag through the hole?

Answer 1

The area of the hole would be 9 in^2 if it is considered that every space withing the board has equal possibilities then

9/44 = 0.204 = 20.4%

Answer 2

The probability of not tossing the bag through the hole is:

`(35)/(44)=0.7954`

Explanation:

We are given a rectangular board of area 44 square inches.

Also there is a square hole near the top of the game board with side length 3 inches.

Hence, the area of the square hole is: (side)^2

Area of square hole=(3)^2

hence, Area of square hole=9 square inches.

The probability of not tossing the bag through the hole is:

Area excluding the square hole/Area of board.

we know that:

Area excluding square hole= Area of board-Area of square hole

=44-9

=35 square inches.

Hence, the probability is:

`(35)/(44)=0.7954`