A bag contains 4 white balls and 6 black balls. If one ball is drawn at random,

Practice Questions

Q1
A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
  1. 2/5
  2. 3/5
  3. 4/5
  4. 1/5

Questions & Step-by-Step Solutions

A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is not black?
  • Step 1: Count the total number of balls in the bag. There are 4 white balls and 6 black balls.
  • Step 2: Add the number of white balls and black balls together. So, 4 + 6 = 10 total balls.
  • Step 3: Identify how many balls are not black. Since there are only white balls that are not black, there are 4 white balls.
  • Step 4: To find the probability of drawing a ball that is not black, divide the number of white balls by the total number of balls. This is 4 (white balls) divided by 10 (total balls).
  • Step 5: Simplify the fraction 4/10. This can be simplified to 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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