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

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

Answer 2

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) =
`(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) =
`(4)/(18)`

Probability ( white egg) =
`(8)/(18)`

probability ( cracked given it is white egg) =
`((4)/(18))/((8)/(18))`

`= (4)/(8) = (1)/(2)`

The probability that it is a cracked, white egg is
`(1)/(2)`