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 = 9Since there must be at least two apples,
$$\eqalign{ & = \frac{{{}^5{C_2}\, \times \,{}^4{C_1}}}{{{}^9{C_3}}} + \frac{{{}^5{C_3}}}{{{}^9{C_3}}} \cr & = \frac{{25}}{{42}} \cr} $$
This Question Belongs to Arithmetic Ability >> Probability
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