Question

chef henderson baked her famous casseroles for a company holiday party. the casseroles have different shapes and different delicious fillings. what is the probability that a randomly selected casserole is shaped like a circle and is filled with cheese? simplify any fractions.

	rectangle	circle
cheese	4	4

Explanation:

Step1: Find total number of casseroles

Add up all the values in the table: $4 + 2+4 + 4=14$.

Step2: Find number of circle - shaped and cheese - filled casseroles

The number of circle - shaped and cheese - filled casseroles is 4.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So the probability that a randomly selected casserole is shaped like a circle and is filled with cheese is $\frac{4}{14}=\frac{2}{7}$.

Answer:

$\frac{2}{7}$