Fair/Unfair

Me and my friend always insist each other to take the first turn whenever we play a board game like Ludo. I want to find out to what extent is it unfair to someone who doesn't make the first move. In short how can one find the probability of winning for both. Let's make the assumption that the one who gets a six first wins.

Easy Math Editor

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Comments

If the one getting six first wins, then there is an advantage for the person making the first move. The probability of the first person (first to throw the die) winning is 6/11.

Probability of the second person winning will be 5/11. So take the first turn next time. :)

Saurabh Dubey - 8 years, 2 months ago

How did you get that

Shourya Pandey - 8 years, 2 months ago

ya how have u derived that?

Nabasindhu Das - 8 years, 2 months ago

This is a question from NCERT Class 12 Mathematics Textbook and application of probability and infinite GP concepts can be applied to get the results as 5/11 and 6/11.

Rahul Nahata - 8 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$