For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
11/19/2015

Problem 1

A boy has four red marbles and eight blue marbles. He arranges his twelve marbles randomly, in a ring. What is the probability that no two red marbles are adjacent?

Problem 2

Suppose n fair 6-sided dice are rolled simultaneously. What is the expected value of the score on the highest valued die?

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Last Set of Problems

Problem #1

In how many ways can 50! be expressed as a sum of two or more consecutive positive integers?

Problem #2

The minute hand of a clock is twice as long as the hour hand. At what time, between 00:00 and when the hands are next aligned (just after 01:05), is the distance between the tips of the hands increasing at its greatest rate?

Congratulations to RK Sambangi, who was the winner of last set of puzzles.

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