Question

a basket is filled with 8 white eggs and 10 brown eggs. half of the white eggs are cracked. an egg is randomly selected from the basket. what is the probability that it is a cracked, white egg? write your answer as a fraction in simplest form.

Explanation:

Step1: Calculate the number of cracked white eggs

There are 8 white eggs, and half of them are cracked. So the number of cracked white eggs is \(8\times\frac{1}{2} = 4\).

Step2: Calculate the total number of eggs

The total number of eggs is \(8 + 10=18\).

Step3: Calculate the probability

The probability \(P\) of selecting a cracked white egg is the number of cracked white eggs divided by the total number of eggs. So \(P=\frac{4}{18}\).

Step4: Simplify the fraction

Simplify \(\frac{4}{18}\) by dividing both the numerator and denominator by 2. \(\frac{4\div2}{18\div2}=\frac{2}{9}\).

Answer:

\(\frac{2}{9}\)