If n is a natural number, then what is the sum of all distinct remainders of 4ⁿ + 6ⁿ + 9ⁿ + 11ⁿ when divided by 10 for various values of n?

Two dice each numbered from 1 to 6 are thrown together. Let A and B…

Two dice each numbered from 1 to 6 are thrown together. Let A and B…

An urn contains one black ball and one green ball. A second urn contains one…

An urn contains one black ball and one green ball. A second urn contains one…

What is the most probable number of successes in 10 trials with probability of success…