A box contains `10` good articles and `6` defective articles. One item is drawn at random. the probability that it is either good or has a defect, is

Options

A. a) `64/64`
B. b) `49/64`
C. c)
`40/64`
D. d) `24/64`

Answer

a) `64/64`

Explanation

Total articles in a box `=` Total sample space `=10 +6 = 16` articles


Probability of choosing a good article `P(A)= 10/16`


Probability of choosing a defective article `P(A')=1-10/16= 6/16`


Probability of whether chosen book is good or defective `= (10/16) + (6/16)`


`= 16/16 = 1`


Hence, correct option is a)