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A box contains 3 red balls and 2 blue balls. What is the probability of picking

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Question: A box contains 3 red balls and 2 blue balls. What is the probability of picking a red ball? (2023)

Options:

  1. 0.6
  2. 0.5
  3. 0.4
  4. 0.3

Correct Answer: 0.6

Exam Year: 2023

Solution:

Probability = Number of favorable outcomes / Total outcomes = 3/(3+2) = 3/5 = 0.6.

A box contains 3 red balls and 2 blue balls. What is the probability of picking

Practice Questions

Q1
A box contains 3 red balls and 2 blue balls. What is the probability of picking a red ball? (2023)
  1. 0.6
  2. 0.5
  3. 0.4
  4. 0.3

Questions & Step-by-Step Solutions

A box contains 3 red balls and 2 blue balls. What is the probability of picking a red ball? (2023)
  • Step 1: Identify the total number of balls in the box. There are 3 red balls and 2 blue balls.
  • Step 2: Calculate the total number of balls by adding the red and blue balls together: 3 (red) + 2 (blue) = 5 (total balls).
  • Step 3: Identify the number of favorable outcomes, which is the number of red balls. There are 3 red balls.
  • Step 4: Use the probability formula: Probability = Number of favorable outcomes / Total outcomes.
  • Step 5: Substitute the numbers into the formula: Probability = 3 (red balls) / 5 (total balls).
  • Step 6: Simplify the fraction: 3/5.
  • Step 7: Convert the fraction to a decimal if needed: 3/5 = 0.6.
  • Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to total outcomes.
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