MathematicsState true or false.A lot of 20 books contain 8 books on Mathematics, 5 books on English and the rest are novels. A book is selected at random. The probability that it is a novel is 520.

State true or false.


A lot of 20 books contain 8 books on Mathematics, 5 books on English and the rest are novels. A book is selected at random. The probability that it is a novel is 520.


  1. A
    True
  2. B
    False 

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    Solution:

    Given that the total number of books = 20, number of Mathematics books = 8, and the number of English books = 5.
    n(S)=20
    Number of novels is calculated by subtracting the sum of the number of Mathematics and English books from the total number of books.
    Number of novels = Total number of  books - Number of Mathematics books - Number of English books
    Number of novels=20-8-5
    Number of novels=7 books
    n(E)=7
    We know that the probability is given as the ratio of the number of favorable outcomes with the total number of possible outcomes.
    P(E)=Number of favourable outcomes n(E)Total possible outcomes n(S)
    Probability that selected book is a novel,
    P(E)=720
    Hence, probability that selected book is a novel is 720.
    Therefore, option 2 is correct and the statement is false.
     
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