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A box contains 10 balls, 4 of which are red and 6 are blue. If one ball is drawn

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Question: A box contains 10 balls, 4 of which are red and 6 are blue. If one ball is drawn at random, what is the probability that it is not blue?

Options:

  1. 2/5
  2. 3/5
  3. 4/10
  4. 1/5

Correct Answer: 2/5

Solution: 

The probability of not drawing a blue ball = Number of red balls / Total balls = 4/10 = 2/5.

A box contains 10 balls, 4 of which are red and 6 are blue. If one ball is drawn

Practice Questions

Q1
A box contains 10 balls, 4 of which are red and 6 are blue. If one ball is drawn at random, what is the probability that it is not blue?
  1. 2/5
  2. 3/5
  3. 4/10
  4. 1/5

Questions & Step-by-Step Solutions

A box contains 10 balls, 4 of which are red and 6 are blue. If one ball is drawn at random, what is the probability that it is not blue?
Correct Answer: 2/5
  • Step 1: Identify the total number of balls in the box. There are 10 balls in total.
  • Step 2: Identify how many of those balls are red. There are 4 red balls.
  • Step 3: Determine how many balls are not blue. Since there are 4 red balls, the number of balls that are not blue is 4.
  • Step 4: Calculate the probability of drawing a ball that is not blue. This is done by dividing the number of red balls by the total number of balls: 4 (red balls) / 10 (total balls).
  • Step 5: 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 calculated by considering the total outcomes minus the favorable outcomes.
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