Question
A basket has 5 apples and 4 oranges. Three fruits are picked at random. The probability that at least 2 apples are picked is -
Answer: Option A
Total fruits = 9
Since there must be at least two apples,
$$\eqalign{
& = \frac{{{}^5{C_2}\, \times \,{}^4{C_1}}}{{{}^9{C_3}}} + \frac{{{}^5{C_3}}}{{{}^9{C_3}}} \cr
& = \frac{{25}}{{42}} \cr} $$
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Total fruits = 9
Since there must be at least two apples,
$$\eqalign{
& = \frac{{{}^5{C_2}\, \times \,{}^4{C_1}}}{{{}^9{C_3}}} + \frac{{{}^5{C_3}}}{{{}^9{C_3}}} \cr
& = \frac{{25}}{{42}} \cr} $$
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