Multiple choice

A bag contains $4$ white, $3$ red and $4$ green balls, A ball is drawn at random. Find the probability of the event 'the ball drawn is white or green'.

  1. $\dfrac5{11}$
  2. $\dfrac6{11}$
  3. $\dfrac7{11}$
  4. $\dfrac8{11}$
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D Correct answer
Explanation

Total balls = 4 + 3 + 4 = 11. Favorable outcomes (white or green) = 4 + 4 = 8. Probability = 8/11.

AI explanation

Using the addition theorem of probability, the probability of drawing a white or green ball is the sum of their individual probabilities since these are mutually exclusive events. The total number of balls is 4 plus 3 plus 4, which equals 11. The favorable outcomes are the 4 white plus 4 green balls, giving 8 favorable outcomes out of 11 total outcomes, making the probability 8/11.

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