Question

A game has a rectangular board with an area of 44in2. 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 3in. What is the probability of tossing the bag through the hole twice in a row?
9/44
81/1936
1225/1936
35/44

Answer 1

There's a key piece of information that we have to assume about this problem: that there is a 100% probability of hitting the game board. (you will definitely hit the board). That means the probability of getting into the hole is the area of the hole divided by the area of the board. 

The area of the board is given: 44 in²
The area of the hole is 3x3 = 9 in²

The probability of hitting the hole on any given try:
9/44 
Twice in a row:
9/44 * 9/44 = 81/1936

Answer is B) 81/1936