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| For The Mathematically Inclined |
Anil Saigal
06/16/2016
Problem 1
A cloth bag contains a pool ball, which is known to be a solid ball. A second pool ball is chosen at random in such a way that it is equally likely to be a solid or a stripe ball. The ball is added to the bag, the bag is shaken, and a ball is drawn at random. This ball proves to be a solid. What is the probability that the ball remaining in the bag is also a solid?
Problem 2
Suppose N fair 6-sided dice are rolled simultaneously. What is the expected value of the score on the highest valued die?Please send your solutions anil@lokvani.com.
Use Problem Solutions M-061616 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.
Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.
If you need clarification on any problem, please contact anil@lokvani.com.
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Problem 1
What comes next in the following sequence:
B, G, L, Q, ...
Solution:
V.
Problem 2
What comes next in the following sequence:
AC, GH, MM, SR, ...
YW.
Congratulations to Avani Bhargava, Avanish Gowrishankar, Amit Lele and RK Sambangi, who were the winners of the last set of puzzles.
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