Question

Suppose that 80% of books are classified as fiction. Two books are chosen at random. What is the probability that both books ara fiction?

Answer 1

64% or 16/25

Step-by-step explanation:

To calculate probability, we first find the fraction for the number of books that are fiction.

`80= (4)/(5)`

To find out what the probability of choosing a fiction book twice, we multiply 4/5 with 4/5 to get our probability if we selected a book twice.

`(4)/(5) *(4)/(5) = (16)/(25) \\0.64`

The probability of choosing two fiction books is a 16/25, or 64% chance.