a basket is filled with 7 white eggs and 14 brown eggs. half of the brown eggs are cracked. an egg is…

a basket is filled with 7 white eggs and 14 brown eggs. half of the brown eggs are cracked. an egg is randomly selected from the basket. what is the probability that it is a cracked, brown egg? write your answer as a fraction in simplest form.

a basket is filled with 7 white eggs and 14 brown eggs. half of the brown eggs are cracked. an egg is randomly selected from the basket. what is the probability that it is a cracked, brown egg? write your answer as a fraction in simplest form.

Answer

Explanation:

Step1: Calculate number of cracked brown eggs

Since there are 14 brown eggs and half are cracked, the number of cracked brown eggs is $\frac{14}{2}=7$.

Step2: Calculate total number of eggs

There are 7 white eggs and 14 brown eggs, so the total number of eggs is $7 + 14=21$.

Step3: Calculate probability

The probability $P$ of selecting a cracked - brown egg is the number of cracked - brown eggs divided by the total number of eggs. So $P=\frac{7}{21}$.

Step4: Simplify the fraction

$\frac{7}{21}=\frac{1}{3}$ by dividing both the numerator and denominator by 7.

Answer:

$\frac{1}{3}$