?
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 & Solution
Correct Answer:
Option
A
Total fruits = 9
Since there must be at least two apples,
$$\eqalign{ & = \frac{{{}^5{C_2}\, \times \,{}^4{C_1}}}{{{}^9{C_3}}} + \frac{{{}^5{C_3}}}{{{}^9{C_3}}} \cr & = \frac{{25}}{{42}} \cr} $$
Since there must be at least two apples,
$$\eqalign{ & = \frac{{{}^5{C_2}\, \times \,{}^4{C_1}}}{{{}^9{C_3}}} + \frac{{{}^5{C_3}}}{{{}^9{C_3}}} \cr & = \frac{{25}}{{42}} \cr} $$
Join the Discussion
Login to post a comment or share your explanation.
Login