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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 white?

Options:

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

Correct Answer: 3/5

Solution: 

The total number of balls is 10. The number of non-white balls is 10 - 4 = 6. Thus, the probability of drawing a non-white ball is 6/10 = 3/5.

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 white?
  1. 2/5
  2. 3/5
  3. 4/5
  4. 1/5

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 white?
  • Step 1: Identify the total number of balls in the box. There are 10 balls.
  • Step 2: Identify how many of those balls are white. There are 4 white balls.
  • Step 3: Calculate the number of non-white balls by subtracting the number of white balls from the total number of balls. This is 10 - 4 = 6 non-white balls.
  • Step 4: Write down the probability formula for drawing a non-white ball. Probability = (Number of non-white balls) / (Total number of balls).
  • Step 5: Substitute the numbers into the formula. This gives us Probability = 6 / 10.
  • Step 6: Simplify the fraction 6 / 10 to its simplest form, which is 3 / 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 – Events that cover all possible outcomes; in this case, drawing a non-white ball is the complement of drawing a white ball.
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