write a sage program for in a certain small country license plates look like abc789 5155741

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 0–9

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. Lets 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).

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