Final answer:
The probability that a leap year contains exactly 52 Mondays and 52 Wednesdays is 1/7 or approximately 0.1429. There seems to be an error with the provided options as this correct probability is not listed among them.
Step-by-step explanation:
The question is asking about the probability that a leap year contains 52 Mondays and 52 Wednesdays. A leap year has 366 days, which is 52 weeks and 2 days. These extra two days can be a combination of any two days of the week. For the leap year to have exactly 52 Mondays and 52 Wednesdays, the two extra days must either be both Mondays, both Wednesdays, or one Monday and one Wednesday. Since there are 7 possible days for the first extra day and 6 for the second (since the first day has been chosen already), there are 7*6/2 = 21 unique combinations of two days.
Out of these 21, only the following 3 combinations would result in our desired outcome: (Monday, Monday), (Wednesday, Wednesday), and (Monday, Wednesday). Thus, the probability is 3 combinations favorable to our outcome divided by the 21 total possible combinations, which is 3/21 or 1/7, and when calculated gives us approximately 0.1429. This is not one of the provided options, indicating a potential error in the question or the available options.