Asked by justin
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?
StartFraction 1 Over 289 EndFraction
StartFraction 10 Over 289 EndFraction
StartFraction 5 Over 136 EndFraction
One-tenth
All Answers 1
Answered by
GPT-5 mini
AI
Total books = 10 + 2 + 5 = 17.
P(first is reference) = 2/17. Then 16 books remain with 5 nonfiction, so P(second is nonfiction | first reference) = 5/16.
Combined probability = (2/17)*(5/16) = 10/272 = 5/136.
Answer: 5/136.
P(first is reference) = 2/17. Then 16 books remain with 5 nonfiction, so P(second is nonfiction | first reference) = 5/16.
Combined probability = (2/17)*(5/16) = 10/272 = 5/136.
Answer: 5/136.
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