A jar contains 4 green, 5 yellow, and 6 red marbles. What is the probability of

Practice Questions

Q1
A jar contains 4 green, 5 yellow, and 6 red marbles. What is the probability of picking a yellow marble?
  1. 1/3
  2. 5/15
  3. 1/4
  4. 1/5

Questions & Step-by-Step Solutions

A jar contains 4 green, 5 yellow, and 6 red marbles. What is the probability of picking a yellow marble?
Correct Answer: 1/3
  • Step 1: Count the number of green marbles. There are 4 green marbles.
  • Step 2: Count the number of yellow marbles. There are 5 yellow marbles.
  • Step 3: Count the number of red marbles. There are 6 red marbles.
  • Step 4: Add the number of all marbles together: 4 (green) + 5 (yellow) + 6 (red) = 15 total marbles.
  • Step 5: Identify how many of the total marbles are yellow. There are 5 yellow marbles.
  • Step 6: To find the probability of picking a yellow marble, divide the number of yellow marbles by the total number of marbles: 5 (yellow) / 15 (total) = 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 possible outcomes.
  • Total Outcomes – Recognizing the importance of correctly calculating the total number of items in a set before determining probabilities.
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