a basket is filled with 2 white eggs and 14 brown eggs. half of the brown eggs are cracked. an egg is…

a basket is filled with 2 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 2 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 total number of eggs

$2 + 14=16$

Step2: Calculate number of cracked brown eggs

Half of 14 brown eggs are cracked, so $14\div2 = 7$

Step3: Calculate probability

Probability = $\frac{\text{Number of cracked brown eggs}}{\text{Total number of eggs}}=\frac{7}{16}$

Answer:

$\frac{7}{16}$