A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -

A. $$\frac{{25}}{{42}}$$

B. $$\frac{{9}}{{20}}$$

C. $$\frac{{10}}{{23}}$$

D. $$\frac{{41}}{{42}}$$

Answer: Option A

Solution(By Examveda Team)

Total fruits = 9
Since there must be at least two apples,
$$\eqalign{ & = \frac{{{}^5{C_2}\, \times \,{}^4{C_1}}}{{{}^9{C_3}}} + \frac{{{}^5{C_3}}}{{{}^9{C_3}}} \cr & = \frac{{25}}{{42}} \cr} $$