Question 55
Let $a, b, c, d, e, f$ be integers selected from the set $\{1,2, \ldots, 100\}$, uniformly and at random with replacement. Set
$$
M = a + 2b + 4c + 8d + 16e + 32f
$$
What is the expected value of the remainder when $M$ is divided by $64$?
Proposed by: Evan Chen
$$
M = a + 2b + 4c + 8d + 16e + 32f
$$
What is the expected value of the remainder when $M$ is divided by $64$?
Proposed by: Evan Chen