10th Class Mathematics Solved Paper - Mathematics-2018

  • question_answer 12)
    An integer is chosen at random between 1 and 100. Find the probability that it is:
    (i) divisible by 8.
    (ii) not divisible by 8.

    Answer:

    Total numbers are 2, 3, 4, ........., 99
    (i) Let E be the event of getting a number divisible by 8.
        \[E=\{8,16,24,32,40,48,56,64,72,80,88,96\}\]
           \[=12\]
    \[P(E)=\frac{Favourable\,\,outcomes}{Total\,\,outcomes}\]
             \[=\frac{12}{98}=0.1224\]
    (ii) Let E? be the event of getting a number not divisible by 8.
    Then,   \[P(E)=1-P(E)\]
             \[=\text{ }1-0.1224\]
             \[=0.8756\]


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