Answer :
To solve the problem, we need to determine the probability of Tyra choosing the green ball from the bag. Here's a step-by-step solution:
1. Determine the total number of balls in the bag:
- The bag contains four balls: one red, one blue, one green, and one yellow.
- Therefore, the total number of balls in the bag is 4.
2. Determine the number of green balls in the bag:
- The bag contains only one green ball.
3. Calculate the probability of choosing the green ball:
- The probability of an event is given by the ratio of favorable outcomes to the total number of possible outcomes.
- Here, the favorable outcome is choosing the green ball, which is just 1.
- The total number of possible outcomes is 4 (since there are 4 balls in total).
So, the probability [tex]\( P \)[/tex] of choosing the green ball is:
[tex]\[ P(\text{green ball}) = \frac{\text{Number of green balls}}{\text{Total number of balls}} = \frac{1}{4} \][/tex]
4. Select the correct answer from the given options:
- A. [tex]\(\frac{4}{4}\)[/tex] equals 1.
- B. [tex]\(\frac{4}{1}\)[/tex] equals 4.
- C. [tex]\(\frac{1}{4}\)[/tex] equals 0.25.
- D. [tex]\(\frac{1}{1}\)[/tex] equals 1.
Given the calculation, the correct answer is:
[tex]\[ C. \frac{1}{4} \][/tex]
1. Determine the total number of balls in the bag:
- The bag contains four balls: one red, one blue, one green, and one yellow.
- Therefore, the total number of balls in the bag is 4.
2. Determine the number of green balls in the bag:
- The bag contains only one green ball.
3. Calculate the probability of choosing the green ball:
- The probability of an event is given by the ratio of favorable outcomes to the total number of possible outcomes.
- Here, the favorable outcome is choosing the green ball, which is just 1.
- The total number of possible outcomes is 4 (since there are 4 balls in total).
So, the probability [tex]\( P \)[/tex] of choosing the green ball is:
[tex]\[ P(\text{green ball}) = \frac{\text{Number of green balls}}{\text{Total number of balls}} = \frac{1}{4} \][/tex]
4. Select the correct answer from the given options:
- A. [tex]\(\frac{4}{4}\)[/tex] equals 1.
- B. [tex]\(\frac{4}{1}\)[/tex] equals 4.
- C. [tex]\(\frac{1}{4}\)[/tex] equals 0.25.
- D. [tex]\(\frac{1}{1}\)[/tex] equals 1.
Given the calculation, the correct answer is:
[tex]\[ C. \frac{1}{4} \][/tex]