A box contains 4 green, 6 yellow, and 10 red marbles. What is the probability of
Practice Questions
Q1
A box contains 4 green, 6 yellow, and 10 red marbles. What is the probability of picking a yellow marble?
1/5
3/10
6/20
1/2
Questions & Step-by-Step Solutions
A box contains 4 green, 6 yellow, and 10 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 6 yellow marbles.
Step 3: Count the number of red marbles. There are 10 red marbles.
Step 4: Add the number of all marbles together: 4 (green) + 6 (yellow) + 10 (red) = 20 total marbles.
Step 5: Identify how many of the total marbles are yellow. There are 6 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: 6 (yellow) / 20 (total) = 6/20.
Step 7: Simplify the fraction 6/20 by dividing both the top and bottom by 2: 6 ÷ 2 = 3 and 20 ÷ 2 = 10, so the simplified probability is 3/10.
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.
