Answer : The probability of drawing a dime is,
![(4)/(9)](https://img.qammunity.org/2020/formulas/mathematics/high-school/593x9cj6xundf4nbj5w1lrrseodoyrkzjn.png)
Step-by-step explanation :
Number of dimes in a box = 8
Number of quarters in a box = 10
Formula used :
![\text{Probability of drawing a dime}=\frac{\text{Number of dimes in a box}}{\text{Total number of outcomes}}](https://img.qammunity.org/2020/formulas/mathematics/middle-school/q5wnikcz9fzu735xojwquq8zztprboj82g.png)
Total number of outcomes = Number of dimes in a box + Number of quarters in a box
Total number of outcomes = 8 + 10
Total number of outcomes = 18
Now put all the given values in the above formula, we get:
![\text{Probability of drawing a dime}=(8)/(18)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/3bk0v7gxsw4n6ww2u0iq4mjkkhf1bxwfhc.png)
![\text{Probability of drawing a dime}=(4)/(9)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qhbm3cxk7p9xz8j55ypjgwivu5z11sst18.png)
Thus, the probability of drawing a dime is,
![(4)/(9)](https://img.qammunity.org/2020/formulas/mathematics/high-school/593x9cj6xundf4nbj5w1lrrseodoyrkzjn.png)