After other workers taken 1 banana, 2 oranges and 1 pear then total fruits left in the basket
[tex]11[/tex]
Now the number of oranges left is 4.
So the probability of picking an orange from the basket is
[tex]\frac{4}{11}[/tex]
After she took 1st orange then the number of oranges left 3
So the probability of picking an orange for the 2nd time is
[tex]\frac{3}{10}[/tex]
Now the number of oranges left is 2, and the total number of fruits is 9. So the probability of picking third fruit also orange is
[tex]\frac{2}{9}[/tex]
