chef henderson baked her famous casseroles for a company holiday party. the casseroles have different shapes…

chef henderson baked her famous casseroles for a company holiday party. the casseroles have different shapes and different delicious fillings.\n| |spinach|cheese|\n|--|--|--|\n|rectangle|2|4|\n|circle|4|4|\nwhat is the probability that a randomly selected casserole is shaped like a circle and is filled with cheese?\nsimplify any fractions.

chef henderson baked her famous casseroles for a company holiday party. the casseroles have different shapes and different delicious fillings.\n| |spinach|cheese|\n|--|--|--|\n|rectangle|2|4|\n|circle|4|4|\nwhat is the probability that a randomly selected casserole is shaped like a circle and is filled with cheese?\nsimplify any fractions.

Answer

Explanation:

Step1: Calculate the total number of casseroles.

Add the number of casseroles in each category from the table. $$ \text{Total Casseroles} = 2 + 4 + 4 + 4 = 14 $$

Step2: Identify the number of favorable outcomes.

Find the number of casseroles that are shaped like a circle and filled with cheese from the table. $$ \text{Favorable Outcomes (Circle and Cheese)} = 4 $$

Step3: Calculate the probability.

Divide the number of favorable outcomes by the total number of casseroles. $$ P(\text{Circle and Cheese}) = \frac{\text{Number of Circle and Cheese Casseroles}}{\text{Total Number of Casseroles}} = \frac{4}{14} $$

Step4: Simplify the fraction.

Divide the numerator and the denominator by their greatest common divisor, which is 2. $$ \frac{4 \div 2}{14 \div 2} = \frac{2}{7} $$

Answer:

$\frac{2}{7}$