This is a probability question from Math 370

The probability that it rains during any given day during the next 7 days is equal to p. The events that it rains on any two given days are independent of each other. The probability that it rains on 2 or fewer of the next 7 days is 2.495 times the probability that it rains on more than 2 of the next 7 days. Find p. Hint: The final equation you get for this problem will be very difficult to solve by hand. I recommend setting up an equation for p, and then using trial and error to find the correct value of p. Take advantage of the fact that this is a multiple choice