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A bag contains 5 red balls and 3 blue balls. What is the probability of picking

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

Options:

  1. 3/8
  2. 5/8
  3. 1/2
  4. 1/3

Correct Answer: 5/8

Solution:

Probability = Number of favorable outcomes / Total outcomes = 5 / (5 + 3) = 5/8.

A bag contains 5 red balls and 3 blue balls. What is the probability of picking

Practice Questions

Q1
A bag contains 5 red balls and 3 blue balls. What is the probability of picking a red ball?
  1. 3/8
  2. 5/8
  3. 1/2
  4. 1/3

Questions & Step-by-Step Solutions

A bag contains 5 red balls and 3 blue balls. What is the probability of picking a red ball?
  • Step 1: Identify the total number of red balls in the bag. There are 5 red balls.
  • Step 2: Identify the total number of blue balls in the bag. There are 3 blue balls.
  • Step 3: Calculate the total number of balls in the bag by adding the number of red balls and blue balls together. Total = 5 red + 3 blue = 8 balls.
  • Step 4: Determine the number of favorable outcomes for picking a red ball. This is the number of red balls, which is 5.
  • Step 5: Use the probability formula: Probability = Number of favorable outcomes / Total outcomes.
  • Step 6: Substitute the values into the formula: Probability = 5 (red balls) / 8 (total balls).
  • Step 7: Simplify the fraction if possible, but in this case, 5/8 is already in simplest form.
  • 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.
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