We have been given that a bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons.
We need to find the probability of drawing a red balloon.
We know that probability is given by
![\\ \text{Probability =} \frac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://img.qammunity.org/2019/formulas/mathematics/high-school/3n1ffysnpmzym6vv1f6ozu36pc6qu8oo1y.png)
Since we know that there are 10 red balloons. Therefore, our number of favorable outcomes is 10.
In order to find the total number of outcomes, we will add balloons of all colors.
Therefore, total outcomes are =
![10+12+15+8 = 45](https://img.qammunity.org/2019/formulas/mathematics/high-school/s6znaifzpwacm016xgm46g6mtllm1twgrl.png)
We can now substitute the values of favorable outcomes and total outcomes in order to find the required probability.
![\\ \text{Probability =} \frac{\text{10}}{\text{45}} = (2)/(9)](https://img.qammunity.org/2019/formulas/mathematics/high-school/f2o61o5j4p6faf003dl9wjb7rlqenfkyck.png)