Math, Physics and Chemistry books

Probability Level 1

On a table, there are a total of 30 distinct books: 9 math books, 10 physics books, and 11 chemistry books.

What is the probability of getting a book that is not a math book?

0 0 9 30 \frac{9}{30} 10 30 \frac{10}{30} 11 30 \frac{11}{30} 19 30 \frac{19}{30} 20 30 \frac{20}{30} 21 30 \frac{21}{30} 1 1

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Evan Huynh by Evan Huynh , 24, Sweden

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3 solutions

Ujjwala Ananth
Nov 29, 2015

Probability of not getting maths book

= 1 - (probability of maths book)

= 1 - 9/30 =21/30

8 Helpful 1 Interesting 2 Brilliant 1 Confused

Can you elaborate on this solution please?

Sandeep Bhara - 4 years, 12 months ago

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1 is the maximum probability. Total books are 30. The books other than Math are 10 plus 11 or 21. 9 by 30 are math books.Excluding this [i.e., 9 by 30] from the maximum probability 1 we are remained with 21 by 30.

humaira arif - 3 years, 9 months ago
Aiden Battle
Aug 10, 2017

9 math - 30 books = 21 = 21/30 chance, Also, 10+11= 21 = 21/30 out of 30 (books total) is not a math book.

4 Helpful 0 Interesting 2 Brilliant 0 Confused

Total number of books = 30

Total number of books that is not math = 10 + 11 = 21

The desired probability is,

P = 21 30 \color{#69047E}\large{\boxed{P=\dfrac{21}{30}}}

2 Helpful 0 Interesting 2 Brilliant 0 Confused

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