For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
11/06/2013

PROBLEM #1

The World Series consists of up to seven games, the first team to win four wins the series. Team A will play in their home field games 1, 2, 6, and 7. Games 3, 4, and 5 will be played at team B's home field. Assuming that each time has a 50% chance of winning every game, which team will is more likely have have the home field advantage the majority of the time?

PROBLEM #2

You have two bags of m&m candy. One bag has 99 red candies and 1 blue candy. The other bag has 99 blue candies and 1 red candy. You choose a bag at random, open it, and draw just one candy from the bag. If the candy drawn is red what is the probability what is the probability that it was drawn from the bag with 99 reds and 1 blue?

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Problems from 10/24/13

PROBLEM #1

The towns of Alpha, Beta, and Gamma are equidistant from each other. If a car is three miles from Alpha and four miles from Beta, what is the maximum possible distance of the car from Gamma? Assume the land is flat.

SOLUTION 1
7 miles?

PROBLEM #2

A rhombus, ABCD, has sides of length 10. A circle with center A passes through C (the opposite vertex.) Likewise, a circle with center B passes through D. If the two circles are tangent to each other, what is the area of the rhombus?

SOLUTION 2
75.

Congratulations to Abhimanyu Bhargava, Kishore Balsara, Saba Lateef, and Cinin Syed, who were the winners of the last set of puzzles. Here are two puzzles for one and all!

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