Farica-1

A new disease has been detected called "Farica". And it attacks only the children and old men. Its vaccine has been invented. If the vaccine is applied to a child and 4 old men, then the child and one old man survives, but the other 3 men dies. And if the vaccine is not applied to 4 children and a old man, then 3 children survives but the other child and the old man dies. So, children survives 75% if the vaccine is not applied and 100% if the vaccine is applied. So the vaccine seems profitable. And old men survives 0% if the vaccine is not applied and 25% if the vaccine is applied. Again, the vaccine seems profitable. But if we think the other way that, human survives 60% if the vaccine is not applied and 40% if the vaccine is applied. Here the vaccine seems unprofitable. So should we apply the vaccine or not???

#Combinatorics

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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}`	$\boxed{123}$