Tina is trying to drop a water balloon from her balcony onto a rectangular raft in the pool below. The pool is 25 feet long and 15 feet wide. The raft is 6 feet long and 2 feet wide. What is the probability that Tina will hit the raft with the water balloon?
area of raft is 6*2 = 12
area of pool is 25*15 = 375
so, assuming the water balloon is much smaller than the raft, the probability of hitting the raft is 12/375
In actuality, probably much greater than that, since the thrower will presumably actually be aiming at the raft, and not just making a random toss. :-)
Thanks!
To find the probability that Tina will hit the raft with the water balloon, we need to compare the area of the raft to the area of the pool.
First, let's calculate the area of the pool: Area of the pool = Length of the pool × Width of the pool = 25 feet × 15 feet = 375 square feet.
Next, let's calculate the area of the raft: Area of the raft = Length of the raft × Width of the raft = 6 feet × 2 feet = 12 square feet.
Now that we have the areas, we can find the probability that Tina will hit the raft by dividing the area of the raft by the area of the pool:
Probability = Area of the raft / Area of the pool = 12 square feet / 375 square feet ≈ 0.032 (rounded to three decimal places).
Therefore, the probability that Tina will hit the raft with the water balloon is approximately 0.032, or 3.2%.