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A box contains 3 red, 5 blue, and 2 green balls. What is the probability of pick

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

Options:

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

Correct Answer: 1/5

Solution:

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

A box contains 3 red, 5 blue, and 2 green balls. What is the probability of pick

Practice Questions

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

Questions & Step-by-Step Solutions

A box contains 3 red, 5 blue, and 2 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 5 blue balls.
  • Step 3: Count the number of green balls. There are 2 green balls.
  • Step 4: Add the number of all balls together: 3 red + 5 blue + 2 green = 10 total balls.
  • Step 5: Identify how many of the total balls are blue. There are 5 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: 5 blue / 10 total = 1/2.
  • Probability Calculation – Understanding how to calculate the probability of an event by dividing the number of favorable outcomes by the total number of outcomes.
  • Total Outcomes – Recognizing the importance of correctly counting the total number of items in a sample space.
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