If a bag contains 4 red, 3 blue, and 5 green balls, what is the probability of d

Practice Questions

Q1
If a bag contains 4 red, 3 blue, and 5 green balls, what is the probability of drawing a green ball?
  1. 1/3
  2. 1/4
  3. 5/12
  4. 5/10

Questions & Step-by-Step Solutions

If a bag contains 4 red, 3 blue, and 5 green balls, what is the probability of drawing a green ball?
Correct Answer: 5/12
  • Step 1: Count the number of red balls in the bag. There are 4 red balls.
  • Step 2: Count the number of blue balls in the bag. There are 3 blue balls.
  • Step 3: Count the number of green balls in the bag. There are 5 green balls.
  • Step 4: Add the number of all the balls together. 4 red + 3 blue + 5 green = 12 total balls.
  • Step 5: Identify how many of the total balls are green. There are 5 green balls.
  • Step 6: To find the probability of drawing a green ball, divide the number of green balls by the total number of balls. This is 5 (green balls) divided by 12 (total balls).
  • Step 7: Write the probability as a fraction: Probability of drawing a green ball = 5/12.
  • Probability Calculation – Understanding how to calculate the probability of an event by dividing the number of favorable outcomes by the total number of possible outcomes.
  • Counting Principles – Applying basic counting principles to determine the total number of items in a set.
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