If a bag contains 4 red, 3 green, and 5 blue marbles, what is the probability of

Practice Questions

Q1
If a bag contains 4 red, 3 green, and 5 blue marbles, what is the probability of drawing a blue marble?
  1. 1/3
  2. 1/4
  3. 5/12
  4. 5/10

Questions & Step-by-Step Solutions

If a bag contains 4 red, 3 green, and 5 blue marbles, what is the probability of drawing a blue marble?
Correct Answer: 5/12
  • Step 1: Count the number of red marbles. There are 4 red marbles.
  • Step 2: Count the number of green marbles. There are 3 green marbles.
  • Step 3: Count the number of blue marbles. There are 5 blue marbles.
  • Step 4: Add the total number of marbles together. 4 red + 3 green + 5 blue = 12 total marbles.
  • Step 5: Identify how many of the total marbles are blue. There are 5 blue marbles.
  • Step 6: Calculate the probability of drawing a blue marble. Probability = (Number of blue marbles) / (Total number of marbles) = 5 / 12.
  • 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.
  • Total Count of Outcomes – Recognizing the importance of correctly counting the total number of items in a sample space.
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