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A box contains 10 balls, 4 of which are white and the rest are black. If one bal

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Question: A box contains 10 balls, 4 of which are white and the rest are black. If one ball is drawn at random, what is the probability that it is not black?

Options:

  1. 1/5
  2. 2/5
  3. 3/5
  4. 4/5

Correct Answer: 4/5

Solution: 

Total balls = 10. Non-black balls = 4 (white). Probability = 4/10 = 2/5.

A box contains 10 balls, 4 of which are white and the rest are black. If one bal

Practice Questions

Q1
A box contains 10 balls, 4 of which are white and the rest are black. If one ball is drawn at random, what is the probability that it is not black?
  1. 1/5
  2. 2/5
  3. 3/5
  4. 4/5

Questions & Step-by-Step Solutions

A box contains 10 balls, 4 of which are white and the rest are black. If one ball is drawn at random, what is the probability that it is not black?
  • Step 1: Identify the total number of balls in the box. There are 10 balls.
  • Step 2: Determine how many of those balls are white. There are 4 white balls.
  • Step 3: Calculate the number of non-black balls. Since there are 4 white balls, the non-black balls are 4.
  • Step 4: Write down the total number of balls again, which is 10.
  • Step 5: To find the probability of drawing a non-black ball, use the formula: Probability = (Number of non-black balls) / (Total number of balls).
  • Step 6: Substitute the numbers into the formula: Probability = 4 / 10.
  • Step 7: Simplify the fraction 4/10 to get 2/5.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Complementary Events – Understanding that the probability of an event not occurring can be derived from the total outcomes minus the favorable outcomes.
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