Multiple choice

The probability of drawing two red balls in succession from a bag containing $4$ red and $5$ black balls, when the ball that is drawn 1st is not replaced is

  1. $\displaystyle \frac{11}{81}$
  2. $\displaystyle \frac{4}{9}$
  3. $\displaystyle \frac{1}{6}$
  4. $\displaystyle \frac{1}{3}$
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C Correct answer
Explanation

Probability of first red ball = 4/9. Probability of second red ball = 3/8. Total probability = (4/9) * (3/8) = 12/72 = 1/6.

AI explanation

The bag contains 9 balls, making the probability of getting a red ball on the first draw 4/9. Without replacement, the probability of getting a red ball on the second draw is 3/8. By the multiplication rule of probability, the required probability is 4/9 multiplied by 3/8, which equals 1/6.

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