3. the shortstop on the high school baseball ...
3. the shortstop on the high school baseball team has to stop ground balls from getting by him and into the outfield. the area he has to cover starts at second base and extends 45 feet toward third base. he can safely cover the area between second base and 30 feet toward third base but not the area past 30 feet and onto third base. what is the probability that a random grounder will get by the shortstop if hit through this area?
Answer
# Explanation:
## Step1: Determine total area length
The total length of the area he has to cover is 45 feet.
## Step2: Determine safe - area length
The length of the area he can safely cover is 30 feet.
## Step3: Calculate the length of the area where balls can get by
The length of the area where balls can get by is $45 - 30=15$ feet.
## Step4: Calculate the probability
The probability $P$ that a grounder will get by is the ratio of the length of the area where balls can get by to the total length of the area he has to cover. So $P=\frac{15}{45}=\frac{1}{3}$.
# Answer:
$\frac{1}{3}$