Multiple choice

A box contains $7$ red balls, $8$ green balls and $5$ white balls. A ball is drawn at random from the box. Find the probability the ball drawn is $(1)$ White $(2)$ Neither red or white.

  1. $(1)\quad \displaystyle\frac{1}{2}\ \ (2)\quad \displaystyle\frac{1}{3}$
  2. $(1)\quad \displaystyle\frac{2}{5}\ \ (2)\quad \displaystyle\frac{1}{3}$
  3. $(1)\quad \displaystyle\frac{2}{7}\ \ (2)\quad \displaystyle\frac{2}{9}$
  4. $(1)\quad \displaystyle\frac{1}{4}\ \ (2)\quad \displaystyle\frac{2}{5}$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total balls = 7+8+5 = 20. (1) P(White) = 5/20 = 1/4. (2) Neither red nor white means green. P(Green) = 8/20 = 2/5.

AI explanation

The total number of balls in the box is 7 red plus 8 green plus 5 white, giving a total of 20 balls. The probability of drawing a white ball is the number of white balls divided by the total, which is 5/20, simplifying to 1/4. The phrase neither red nor white means drawing a green ball, so the probability is 8/20, which simplifies to 2/5.

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