The value of the quarters is $\$10.00,$ so there must be $10.00/0.25 = 40$ quarters in the jar.
Similarly, there must be $10.00/0.05 = 200$ nickels and $10.00/0.01 = 1000$ pennies.
In total, there are $40+200+1000 = 1240$ coins in the jar, of which 40 are quarters.
Therefore, the probability that Judith chooses a quarter is $40/1240 = \boxed{\frac{1}{31}}.$
The answer is: \frac{1}{31}
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
A jar contains quarters (worth $\$0.25$ each), nickels (worth $\$0.05$ each) and pennies (worth $\$0.01$ each). The value of the quarters is $\$10.00.$ The value of the nickels is $\$10.00.$ The value of the pennies is $\$10.00.$ If Judith randomly chooses one coin from the jar, what is the probability that it is a quarter?

### Answer:
