In tossing one coin 10 times, what are your chances for tossing a head? a tail?

Use the matrix-column representation of the product to write each column of ab as a linear combination of the columns of a.

Prove that 16^4-2^13-4^5 is divisible by 11.

Atest consists of 10 multiple choice questions, each with 5 possible answers, one of which is correct. to pass the test a student must get 60% or better on the test. if a student randomly guesses, what is the probability that the student will pass the test?