Question

Nadia’s bookshelf contains 10 fiction books, two reference books, and five nonfiction books. What is the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book?

Answer 1

Answer:
`(5)/(136)`

Explanation:

Given: Number of reference books = 2

Number of fiction books =10

Number of non-fiction books =5

Total books=
`2+10+5=17`

The probability that she randomly picks up a reference book is given by :-

`\text{P(reference)}=(2)/(17)`

Without replacement ,the probability that she randomly picks up a non-fiction book is given by :-

`\text{P(non-fiction)}=(5)/(16)`

Now, the the probability that she randomly picks up a reference book and then, without replacing it, picks up a nonfiction book is given by:-

`P(\text{non-fiction}|\text{reference})=(2)/(17)*(5)/(16)=(5)/(136)`

Answer 2

5/136

Explanation

Probability is the chance of an event happening.

Probability = (Favorable outcome)/(total outcome)

10 fiction books,

2 reference books,

5 nonfiction books

P(r and n) = 2/17 × 5/16

=(2 × 5)/(17 × 16)

= 10/272

= 5/136