A jar contains 7 red, 5 blue, and 8 green marbles. What is the probability of se

Practice Questions

Q1
A jar contains 7 red, 5 blue, and 8 green marbles. What is the probability of selecting a blue marble?
  1. 5/20
  2. 1/4
  3. 1/5
  4. 1/3

Questions & Step-by-Step Solutions

A jar contains 7 red, 5 blue, and 8 green marbles. What is the probability of selecting a blue marble?
  • Step 1: Count the number of red marbles. There are 7 red marbles.
  • Step 2: Count the number of blue marbles. There are 5 blue marbles.
  • Step 3: Count the number of green marbles. There are 8 green marbles.
  • Step 4: Add the number of all marbles together: 7 (red) + 5 (blue) + 8 (green) = 20 total marbles.
  • Step 5: Identify how many of the total marbles are blue. There are 5 blue marbles.
  • Step 6: Calculate the probability of selecting a blue marble by dividing the number of blue marbles by the total number of marbles: 5 (blue) / 20 (total) = 1/4.
  • 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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