To determine the probability that Tyra will choose the green ball out of the bag, we can follow these steps:
1. Identify the total number of possible outcomes:
Since Tyra has a bag containing four balls and each ball is equally likely to be chosen, the total number of possible outcomes (i.e., the total number of balls) is 4. These balls are red, blue, green, and yellow.
2. Identify the number of favorable outcomes:
We are concerned with the event where Tyra chooses the green ball. There is only one green ball in the bag, so there is only one favorable outcome.
3. Calculate the probability:
The probability of an event is computed as the number of favorable outcomes divided by the total number of possible outcomes. Here, the number of favorable outcomes is 1 (the green ball) and the total number of possible outcomes is 4 (all four balls).
Thus, the probability [tex]\( P \)[/tex] that Tyra will choose the green ball is:
[tex]\[
P = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{4}
\][/tex]
Therefore, the probability that Tyra will choose the green ball is [tex]\(\frac{1}{4}\)[/tex].
The correct answer is:
C. [tex]\(\frac{1}{4}\)[/tex]
