A bag contains 6 Red , 5 Green and 4 yellow coloured balls . 2 balls are drawn at random after one another wothout replacement then what is the probability that atleast one ball is green.

Options

A. `(2)/(3)`
B. `(4)/(5)`
C. `(3)/(8)`
D. `(4)/(7)`

Answer

D

Explanation

According to question ,
probability that no ball is green
`(""^(10)C_(1)xx""^(9)C_(1))/(15xx14)=(90)/(15xx14)=(3)/(7)`
required probability `=1-(3)/(7)=(4)/(7)`