There are 50 eggs in a box 20 of them are broken.At random two eggs are taken one by one consecutively without replacement.What is the probability that
(i)both of them are good
(ii)both of them are broken
(iii)one of them is good and the other is broken

Total no. of eggs = 50
broken eggs = 20
good eggs = 50 − 20 = 30
(i) both of them are good
Probability equals 30 over 50 cross times 29 over 49
space space space space space space space space space space space space space space space space space space equals 87 over 245
(ii) both of them are broken
Probability equals 20 over 50 cross times 19 over 49
space space space space space space space space space space space space space space space space space space equals 38 over 245
(iii) one of them is good and the other is broken​
Probability equals 30 over 50 cross times 20 over 49
space space space space space space space space space space space space space space space space space space equals 12 over 49

 

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