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Equation 4 · Part 1 · Comparing the Main Approaches to Origins of Life and Astrobiology

Symbol P

P(Hbio∣D)=P(D∣Hbio) P(Hbio)P(D∣Hbio) P(Hbio)+P(D∣Hab) P(Hab)P(H_{bio} \mid D) = \frac{P(D \mid H_{bio})\, P(H_{bio})}{P(D \mid H_{bio})\, P(H_{bio}) + P(D \mid H_{ab})\, P(H_{ab})}
PP

What this part means

P is part of the quantity the equation computes from the expression on the right.

Its job in the formula

P is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…abiotic hypothesis explicitly rather than treating the absence of an alternative explanation as evidence that none exists. A biosignature claim is exactly as strong as the list of abiotic pathways it has priced into P(D ∣\mid HabH_{ab}) and no stronger — a point equally true of a rover’s organic detection, a spectroscopic retrieval, and a bench synthesis claiming relevance to a real planet.

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Learn the underlying idea

A function assigns an output to each allowed input. The expression f(x) means “apply f to x”.

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Sources cited in the surrounding passage

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