A jar contains 8 red and 4 blue marbles. What is the probability of selecting a

Practice Questions

Q1
A jar contains 8 red and 4 blue marbles. What is the probability of selecting a blue marble?
  1. 1/3
  2. 1/2
  3. 1/4
  4. 1/5

Questions & Step-by-Step Solutions

A jar contains 8 red and 4 blue marbles. What is the probability of selecting a blue marble?
  • Step 1: Count the number of red marbles. There are 8 red marbles.
  • Step 2: Count the number of blue marbles. There are 4 blue marbles.
  • Step 3: Add the number of red and blue marbles together to find the total number of marbles. Total marbles = 8 + 4 = 12.
  • Step 4: Identify how many of the total marbles are blue. There are 4 blue marbles.
  • Step 5: To find the probability of selecting a blue marble, divide the number of blue marbles by the total number of marbles. Probability of blue marble = 4 (blue marbles) / 12 (total marbles).
  • Step 6: Simplify the fraction 4/12. This simplifies to 1/3.
  • 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 identifying the total number of items in a sample space.
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