In class XI of a school,40% of the students study Mathematics and 30% study Biology. 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.

In class XI of a school,40% of the students study Mathematics and 30% study Biology. 10% of the class study both Mathematics and Biology. If a student is selected at random from the class, find the probability that he will be studying Mathematics or Biology.

  1. A

    0.5

  2. B

    0.6

  3. C

    0.65

  4. D

    None of these

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    Solution:

    Let M and B denote the student of Mathematics and Biology. 

    Given,

    P(M)=40%,P(B)=30%P(MB)=10%

    [10% of the class study both subjects i.e. they ate common in both subjects] 

     P(M or B)=P(MB)=P(M)+P(B)P(MB)=40100+3010010100=60100=60%=0.6

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