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If a box contains 3 red balls, 2 blue balls, and 5 green balls, what is the prob

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Question: If a box contains 3 red balls, 2 blue balls, and 5 green balls, what is the probability of picking a blue ball?

Options:

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

Correct Answer: 1/5

Solution:

Total balls = 3 + 2 + 5 = 10. Probability of blue ball = 2/10 = 1/5.

If a box contains 3 red balls, 2 blue balls, and 5 green balls, what is the prob

Practice Questions

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

Questions & Step-by-Step Solutions

If a box contains 3 red balls, 2 blue balls, and 5 green balls, what is the probability of picking a blue ball?
  • Step 1: Count the number of red balls. There are 3 red balls.
  • Step 2: Count the number of blue balls. There are 2 blue balls.
  • Step 3: Count the number of green balls. There are 5 green balls.
  • Step 4: Add the total number of balls together: 3 (red) + 2 (blue) + 5 (green) = 10 total balls.
  • Step 5: Identify how many of the total balls are blue. There are 2 blue balls.
  • Step 6: Calculate the probability of picking a blue ball by dividing the number of blue balls by the total number of balls: 2 (blue) / 10 (total) = 2/10.
  • Step 7: Simplify the fraction 2/10 to its lowest terms: 2/10 = 1/5.
  • 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 counting the total number of items in a sample space.
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