a basket is filled with 8 white eggs and 9 brown eggs. half of the white eggs are cracked. an egg is…

a basket is filled with 8 white eggs and 9 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 9 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

Answer:

$\frac{4}{17}$

Explanation:

Step1: Calculate number of cracked white eggs

Half of 8 white eggs are cracked, so $8\times\frac{1}{2}=4$ cracked white eggs.

Step2: Calculate total number of eggs

There are 8 white and 9 brown eggs, so $8 + 9=17$ total eggs.

Step3: Calculate probability

Probability = $\frac{\text{Number of cracked white eggs}}{\text{Total number of eggs}}=\frac{4}{17}$.