Write a sage program for:

In a certain small country, license plates look like ABC789 where the first three spots are letters A F and the last three spots are digits 09

4. In a certain small country, license plates look like ABC789 where the first three spots are letters A - F and the last three spots are digits 0-9. Let's call the string formed in the first half the "alphabetical part", and the number formed in the second half the numerical part." (a) What is the probability that a randomly chosen license plate has the sum of the digits at least 15? Use Sage to run a simulation that approximates this. (The answer should be around 0.4). (b) What is the probability that a randomly chosen license plate has at least one vowel? Again, use Sage to run a simulation. (The answer should be more than 0.5). 4. In a certain small country, license plates look like ABC789 where the first three spots are letters A - F and the last three spots are digits 0-9. Let's call the string formed in the first half the "alphabetical part", and the number formed in the second half the numerical part." (a) What is the probability that a randomly chosen license plate has the sum of the digits at least 15? Use Sage to run a simulation that approximates this. (The answer should be around 0.4). (b) What is the probability that a randomly chosen license plate has at least one vowel? Again, use Sage to run a simulation. (The answer should be more than 0.5)