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Out of 100 students in a certain class, 70 students like
Mathematics, 40 students like Science and 15 students like both
By Maya

Out of 100 students in a certain class, 70 students like
Mathematics, 40 students like Science and 15 students like both
Mathematics and Science. A student selected at random. Find the
probability that the student like Mathematics or Science.​

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Maya

MATHEMATICS
女
CLASS – VI
Mamu Delhi
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2 thoughts on “Out of 100 students in a certain class, 70 students like<br />Mathematics, 40 students like Science and 15 students like both<br /”

  1. Total number of students in the class =100

    ∴ n(S)=100

    Let A be the event that students like Mathematics,

    ∴ n(A)=70

    [tex]∴ P(A)= \frac{70}{100} [/tex]

    Let B be the event that students like Science

    ∴ n(B)=40

    [tex]∴ P(B)= \frac{40}{100} [/tex]

    A∩B is the event when students like both Mathematics and Science

    ∴ n(A∩B)=15

    [tex]∴ P(A∩B)= \frac{15}{100} [/tex]

    To find the probability that the student likes Mathematics or Science

    P(A∪B)=P(A)+P(B)−P(A∩B)

    [tex] = \frac{70}{100} + \frac{40}{100 } – \frac{15}{100} [/tex]

    [tex] = \frac{70 + 40 – 15}{100} [/tex]

    [tex] \frac{95}{100} = \frac{19}{20} [/tex]

    Reply

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