Question

a basket is filled with 12 white eggs and 4 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.

Explanation:

Step1: Calculate number of cracked white eggs

Half of 12 white eggs are cracked, so $12\times\frac{1}{2}=6$ cracked white eggs.

Step2: Calculate total number of eggs

There are 12 white eggs and 4 brown eggs, so total eggs are $12 + 4=16$.

Step3: Calculate probability

Probability = $\frac{\text{Number of cracked white eggs}}{\text{Total number of eggs}}$, so $\frac{6}{16}=\frac{3}{8}$.

Answer:

$\frac{3}{8}$