A box contains 10 balls, 7 of which are white. If one ball is drawn at random, w

Practice Questions

Q1
A box contains 10 balls, 7 of which are white. If one ball is drawn at random, what is the probability that it is not white?
  1. 1/10
  2. 3/10
  3. 7/10
  4. 1/3

Questions & Step-by-Step Solutions

A box contains 10 balls, 7 of which are white. If one ball is drawn at random, what is the probability that it is not white?
Correct Answer: 3/10
  • 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 7 white balls.
  • Step 3: Calculate the number of non-white balls. Total balls (10) - White balls (7) = 3 non-white balls.
  • Step 4: Write down the total number of balls again, which is 10.
  • Step 5: Calculate the probability of drawing a non-white ball. Probability = Number of non-white balls (3) / Total number of balls (10).
  • Step 6: Simplify the probability. The probability is 3/10.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Complementary Events – The probability of an event not occurring can be found by subtracting the probability of the event occurring from 1.
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