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) = [tex] \frac{P ( cracked- and - white egg) }{P(white egg)} [/tex]
White eggs = 8
Brown eggs = 10
Total eggs = 18
cracked eggs = half of white eggs = 4
Probability (cracked and white egg) = [tex] \frac{4}{18} [/tex]
Probability ( white egg) = [tex] \frac{8}{18} [/tex]
probability ( cracked given it is white egg) = [tex] \frac{\frac{4}{18}}{\frac{8}{18}} [/tex]
[tex] = \frac{4}{8} = \frac{1}{2} [/tex]
The probability that it is a cracked, white egg is [tex] \frac{1}{2} [/tex]
