Multiple choice

A bag contains $20$ brown and $20$ red balls. One ball is drawn at random. What is the probability that ball is red?

  1. $\dfrac{1}{5}$
  2. $\dfrac{3}{2}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{3}{5}$
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C Correct answer
Explanation

The total number of balls in the bag is 20 + 20 = 40. Since there are 20 red balls, the probability of drawing a red ball is 20/40, which simplifies to 1/2.

AI explanation

According to the classical probability formula, the probability equals the number of favorable outcomes divided by the total number of possible outcomes. The total number of balls in the bag is 20 brown plus 20 red, yielding 40 possible outcomes, and there are 20 favorable red ball outcomes. Therefore, the probability of drawing a red ball is 20 divided by 40, which simplifies to 1/2.

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