Question

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? As a fraction

Answer 1

A basket is filled with 8 white eggs and 10 brown eggs. Half of the white eggs are cracked.

probability ( cracked given it is white egg) = $\frac{P ( cracked- and - white egg) }{P(white egg)}$

White eggs = 8

Brown eggs = 10

Total eggs = 18

cracked eggs = half of white eggs = 4

Probability (cracked and white egg) = $\frac{4}{18}$

Probability ( white egg) = $\frac{8}{18}$

probability ( cracked given it is white egg) = $\frac{\frac{4}{18}}{\frac{8}{18}}$

$= \frac{4}{8} = \frac{1}{2}$

The probability that it is a cracked, white egg is $\frac{1}{2}$

Answer 2

It would be 4/16, so the answer is 1/4.