There are 6 red, 9 blue, and 5 green marbles in a bag. Samantha reaches into the bag and chooses one marble. Which color has a 1/4 chance of being chosen? Explain how you know your answer is correct.
There are 20 marbles all together. 1/4 of 20 = ?
To determine the color that has a 1/4 chance of being chosen, we need to calculate the probability of choosing a particular color.
Given that there are a total of 6 red, 9 blue, and 5 green marbles in the bag, we can calculate the probability of choosing each color as follows:
1. Probability of choosing a red marble:
- Number of red marbles = 6
- Total number of marbles = 6 + 9 + 5 = 20
- Probability = Number of red marbles / Total number of marbles = 6/20 = 3/10
2. Probability of choosing a blue marble:
- Number of blue marbles = 9
- Total number of marbles = 20
- Probability = Number of blue marbles / Total number of marbles = 9/20
3. Probability of choosing a green marble:
- Number of green marbles = 5
- Total number of marbles = 20
- Probability = Number of green marbles / Total number of marbles = 5/20 = 1/4
From these calculations, we can see that the probability of choosing a green marble is 1/4, which means there is a 1/4 chance of selecting a green marble from the bag. Therefore, the correct answer is green.
To determine which color has a 1/4 chance of being chosen, we can calculate the probability of selecting each color. The total number of marbles in the bag is 6 red + 9 blue + 5 green = 20 marbles.
For the red marbles, we have 6 out of 20 chances of being selected. To find the probability, we divide the number of desired outcomes (6 red marbles) by the total number of possible outcomes (20 marbles):
Probability of selecting a red marble = 6/20 = 3/10
For the blue marbles, we have 9 out of 20 chances of being selected:
Probability of selecting a blue marble = 9/20
For the green marbles, we have 5 out of 20 chances of being selected:
Probability of selecting a green marble = 5/20 = 1/4
So, the green marble has a 1/4 chance of being chosen, as desired.