MathematicsA bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red or white.

A bag contains 6 red, 5 black and 4 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red or white.


  1. A
    73
  2. B
    23
  3. C
    53
  4. D
    13 

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    Solution:

    Given that there are 6 red, 4 white and 5 black balls in a bag.
    We know that the probability is given as the ratio of the number of favorable outcomes with the total number of possible outcomes.
    P(E)=Number of favourable outcomes n(E)Total possible outcomes n(S)
    Total number of balls are:
    6+4+5=15
    n(S)=15
    Let E be the event of getting red or white balls.
    Total number of red or white balls is:
    6+4=10
    n(E)=10
    The probability of getting red or white ball is,
    P(E)=Number of favourable outcomes n(E)Total number of outcomes n(S)
    P(E)=1015
    P(E)=23 Thus, the probability of getting red or white ball is 23.
    Hence, option 2 is correct.
     
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