Question

A shelf holds 27 books of which 6 are textbooks, 12 are fiction and 9 are biographies. 5 of the books are selected randomly.

Question:
1. Find the probability that 1 of the books selected are fiction.
2. Find the probability that 1 of the selected is textbook, 2 are fiction and the rest are biographies.

Answer 1

Answer:

1) (12C1×15C4)/(27C5)

= 14/69 or 0.2029

2) (6C1×12C2×9C2)/(27C5)

= 264/1495 or 0.1766