10th Class Mathematics Probability Question Bank Probability

  • question_answer
    Out of all the 2- digit integers between 1 to 200, a 2?digit number has to be selected at random. What is the probability that selected number is not divisible by 7?

    A)  \[\frac{11}{90}\]                                  

    B)  \[\frac{33}{90}\]

    C)  \[\frac{55}{90}\]                                  

    D)  \[\frac{164}{191}\]

    Correct Answer: D

    Solution :

    (d): The number of favourable events will be given by 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140,.........196. Thus, the number of all 2 ? digit integers divisible by 7 is 9 + 10 + 8 = 27 \[\therefore \]\[P=\frac{191-27}{191}\] (as total no of 2 digit integers =191)


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