Find the theoretical probability of a ship landing in the given state.
C
Find the theoretical probability of a ship landing in the given state.
D
Find the theoretical probability of a ship landing in the given state.
A
≈ 0.225
B
≈ 0.032
C
≈ 0.472
D
≈ 0.243
Practice makes perfect
We are given the length of shoreline along the Gulf of Mexico for each state that borders the body of water.
Texas
Louisiana
Mississippi
Alabama
Florida
367 mi
397 mi
44 mi
53 mi
770 mi
We will find the theoretical probabilities for each option that a ship coming ashore at a random point in the Gulf of Mexico lands in the state. To find the probability we need to find the total length of shoreline, so we will sum the given lengths.
367+ 397+ 44+ 53+ 770=1631miles
From here we can find the probability of a ship landing in Texas by dividing the length of the shoreline of Texas by the total length of shoreline along the Gulf of Mexico.
This time, we can find the probability of a ship landing in Alabama by dividing the length of the shoreline of Texas by the total length of shoreline along the Gulf of Mexico.
