2, 3, and 5 are prime numbers; 4 and 6 are composite.
Therefore, (approximately) 60% of the time, he will roll a prime number and 40% of the time he will roll a composite number.
60% of 365 is 219; 40% of 365 is 146.
219 - 146 = 73 days.
It is expected that he will eat unsweetened cereal 73 more days than he eats sweetened cereal in a year.