Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

Q: Problem: 6 / 9 of the population of the country of venezia lives in montague province, while the rest lives in capulet province. in the upcoming election, 80 % of montague residents support romeo, while 70 % of capulet residents support juliet; each resident of venezia supports exactly one of these two candidates. rounded if necessary to the nearest percent, the probability that a juliet supporter chosen at random resides in capulet is
Options: a. 64 %, b. 41 %, c. 45 %, d. 72 %, e. 78 %

A: a
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Q: Problem: a train running at the speed of 20 km / hr crosses a post in 10 seconds. what is the length of the train ?
Options: a. 150, b. 250, c. 415, d. 200, e. 312

A: d
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Q: Problem: calculate how much time could be saved if the train would run at its usual speed, given that it ran at 2 / 3 of its own speed and got to its destination in 20 hours ?
Options: a. 5.67 hrs, b. 9.67 hrs, c. 8.95 hrs, d. 8.67 hrs, e. 6.67 hrs

A:
d
****