MathematicsA bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is not black.

A bag contains 5 black, 7 red and 3 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is not black.


  1. A
    415
  2. B
    115
  3. C
    23
  4. D
    715 

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    Solution:

    Given: Number of red balls =7.
    Number of white balls =3.
    Number of black balls =5.
    The total number of outcomes n(S)=7+3+5
    n(S)=15 Let A is an event of drawing a ball that is not black. So it can be white or red balls.
    Number of favourable outcomes, n(A)=7+3
    n(A)=10
    Probability =number of favourable outcomestotal outcomes
    P(A)=n(A)n(S)
    P(A)=1015
    P(A)=23
    The probability that the ball drawn is not black is 23.
    Here, the correct option is 3.
     
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