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Tyra has a bag containing four balls: one red, one blue, one green, and one yellow. All balls are equally likely to be chosen. Tyra will choose one ball without looking in the bag.

What is the probability that Tyra will choose the green ball out of the bag?

A. [tex]$\frac{4}{4}$[/tex]

B. [tex]$\frac{4}{1}$[/tex]

C. [tex]$\frac{1}{4}$[/tex]

D. [tex]$\frac{1}{1}$[/tex]


Sagot :

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]
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