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Cards marked with numbers 5 to …

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Cards marked with numbers 5 to 50(one number on one card) are placed in a box and mixed throughly. One card is drawn at random from the box. Find the probability that the number on the card taken out is (1) a prime number less than 10 ,(2) a number which is a perfect square.

    • Posted by Aryan Rana 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

     According to question we are given that Cards marked with numbers 5 to 50 are placed in a box and mixed thoroughly. A card is drawn from the box at random. Therefore All possible outcomes are 5, 6, 7, 8 …………… 50.

    Number of all possible outcomes = 46

    1. Out of the given numbers, the prime numbers less than 10 are 5 and 7.
      Suppose  E1 be the event of getting a prime number less than 10.
      Then, number of favorable outcomes = 2
      Therefore,  P(getting a prime number less than 10) = P(E) = {tex}\frac{ 2}{46}=\frac{1}{23}{/tex}
    2. Out of the given numbers, the perfect squares are 9, 16, 25, 36 and 49.
      Suppose E2 be the event of getting a perfect square.
      Then, number of favorable outcomes = 5
      Therefore, P(getting a perfect square) = P(E) = {tex}\frac{5}{46}{/tex}

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