A flash light has `8` batteries out of which `3` are dead. If two batteries are selected without replacement and tested, the probability that both are dead is

Options

A. a) `3/(28)`
B. b) `1/(14)`
C. c) `9/(64)`
D. d) `(33)/(56)`

Answer

a) `3/(28)`

Explanation

Total No's of batteries `=8`


No's of dead batteries `=3`


Let,


`A=` Selecting first dead battery


`B=` Selecting second dead battery


`P(AnnB)=P(A)*P(B//A)=3/8*2/7`


`P(AnnB)=3/28`


Hence, correct option is a)