Sanders owns a chicken farm where the chickens can roam freely. He is investigating where the chickens tend to go in their field. He divides the field up into 9 squares and counts the number of chickens in each square. Here are the raw data showing how many chickens are in each square. There is a food tray in the bottom right square. What is the probability that a chicken, chosen at random, is in the square with the food tray?

First, we need to find the total number of chickens on the farm by summing the numbers in all 9 squares: Total chickens = 3 + 11 + 7 + 11 + 22 + 25 + 13 + 34 + 42 = 168. Next, we identify the number of chickens in the square with the food tray, which is the bottom right square. This number is 42. The probability is calculated as: P(in food tray square) = (Number of chickens in food tray square) / (Total number of chickens) P(in food tray square) = 42 / 168. This fraction can be simplified. Both numbers are divisible by 42: 42 ÷ 42 = 1 168 ÷ 42 = 4 So, the simplified probability is 1/4.