Multiple choice

There are $6$ balls of weight $1 \ kg$, $2 \ kg$, $3 \ kg$, $4 \ kg$, $5 \ kg$ and $6 \ kg$ in a bag. Find the probability that the weight of drawn ball is less than 5 kg.

  1. $\dfrac{2}{3}$
  2. $\dfrac{1}{4}$
  3. $\dfrac{1}{3}$
  4. $\dfrac{1}{6}$
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A Correct answer
Explanation

There are 6 balls with weights 1, 2, 3, 4, 5, 6. The balls with weight less than 5 kg are 1, 2, 3, and 4. There are 4 such balls out of 6 total, so the probability is 4/6 = 2/3.

AI explanation

The bag contains a total of 6 balls with varying weights. The balls weighing less than 5 kg are the 1 kg, 2 kg, 3 kg, and 4 kg balls, giving exactly 4 favorable outcomes. Using the fundamental probability formula, the probability of drawing a ball weighing less than 5 kg is 4 divided by 6, which simplifies to 2/3.

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