A box contains 10 balls: 3 are red, 4 are blue, and 3 are green. What is the pro

Practice Questions

Q1
A box contains 10 balls: 3 are red, 4 are blue, and 3 are green. What is the probability of drawing a blue ball?
  1. 1/3
  2. 2/5
  3. 4/10
  4. 3/10

Questions & Step-by-Step Solutions

A box contains 10 balls: 3 are red, 4 are blue, and 3 are green. What is the probability of drawing a blue ball?
Correct Answer: 2/5
  • Step 1: Count the total number of balls in the box. There are 3 red, 4 blue, and 3 green balls.
  • Step 2: Add the number of balls together: 3 (red) + 4 (blue) + 3 (green) = 10 (total balls).
  • Step 3: Identify how many of the balls are blue. There are 4 blue balls.
  • Step 4: To find the probability of drawing a blue ball, use the formula: Probability = (Number of blue balls) / (Total number of balls).
  • Step 5: Substitute the numbers into the formula: Probability = 4 (blue balls) / 10 (total balls).
  • Step 6: Simplify the fraction 4/10 to get 2/5.
  • 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.
  • Total Outcomes – Recognizing the importance of correctly identifying the total number of items in a sample space.
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