a basket is filled with 8 white eggs and 10 brown eggs. half of the white eggs are cracked. an egg is…

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.

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.

Answer

Explanation:

Step1: Calculate number of cracked white eggs

Since there are 8 white eggs and half are cracked, $8\times\frac{1}{2}=4$ cracked white eggs.

Step2: Calculate total number of eggs

There are 8 white eggs and 10 brown eggs, so $8 + 10=18$ total eggs.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, so $\frac{4}{18}=\frac{2}{9}$.

Answer:

$\frac{2}{9}$