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A new machine learning framework provides doctors with a reliable tool to help diagnose Alzheimer's disease early.

What do we know about monkeypox, what do we not know, and what efforts are going into modelling it?

The COVID-19 emergency resulted in some amazing mathematical collaborations.

Here's a simple game at which a human can out-fox even the cleverest algorithm.

The INI is celebrating its 30th birthday. What is it and what is it do for maths and mathematicians?

Instead of thinking about the two outcomes of the situation, it is better evaluated by the amount of change that will be experienced by the switch. You can either hold the 2x or the x with equal odds, so if you don't make the switch, it is fifty/fifty either way. If you hold the x and switch to the 2x, that is a net gain of x. However, if you hold the 2x and switch to the x, that is a net loss of x. Averaging these outcomes, you get 0.5(x - x)= 0, which shows that there is no net gain or loss in making the switch.