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

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Question: A box contains 4 green, 5 yellow, and 6 red marbles. What is the probability of picking a yellow marble?

Options:

Correct Answer: 1/3

Solution:

Total marbles = 4 + 5 + 6 = 15. Probability of yellow = 5/15 = 1/3.

A box contains 4 green, 5 yellow, and 6 red marbles. What is the probability of picking a yellow marble?

A box contains 4 green, 5 yellow, and 6 red marbles. What is the probability of picking a yellow marble?

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: Calculate the probability of picking a yellow marble by dividing 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 outcomes.
Total Outcomes – Recognizing the importance of correctly counting the total number of items in a sample space.