JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    . A number is chosen from first 100 natural numbers. The probability that the number is even or divisible by 5, is

    A)                 \[\frac{3}{4}\]       

    B)                 \[\frac{2}{3}\]

    C)                 \[\frac{4}{5}\]       

    D)                 \[\frac{3}{5}\]

    Correct Answer: D

    Solution :

                    \[2,\,4,\,6,\,8,\,10\,.......\]i.e., fifty even and ten divisible by 5 like \[5,\,15,\,25\,\,.......\]as \[(10,\,20,\,30\,\,.......)\] have been considered. Hence required probability \[=\frac{50+10}{100}=\frac{3}{5}.\]


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