Multiple choice

A bag contains 6 red balls. 8 white balls, 5 green balls and 3 black balls. One ball is drawn at random from the bag. find the probability that the ball is red or black.

  1. $\displaystyle \frac{7}{22}$
  2. $\displaystyle \frac{8}{22}$
  3. $\displaystyle \frac{9}{22}$
  4. $\displaystyle \frac{5}{22}$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total balls = 6 + 8 + 5 + 3 = 22. Red balls = 6, black balls = 3. Favorable outcomes = 6 + 3 = 9. Probability = 9/22.

AI explanation

The bag contains 6 red, 8 white, 5 green, and 3 black balls, giving a total of 22 balls. The probability of drawing a red ball is 6/22 and the probability of drawing a black ball is 3/22. Using the addition theorem of probability for mutually exclusive events, the probability of drawing a red or black ball is 6/22 plus 3/22, which equals 9/22.

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