Statistiques Exemples

$P (A) = 0.08$ , $P (B) = 0.78$ , $P (B g i v e n A) = 0.1$

Step 1

Using the Bayes' rule, $P (A | B) = \frac{P (B | A) P (A)}{P (B)}$ .

$P (A | B) = \frac{P (B | A) P (A)}{P (B)}$

Step 2

Substitute the given values $P (A) = 0.08$ , $P (B) = 0.78$ , and $P (B | A) = 0.1$ in Bayes' rule.

$P (A | B) = \frac{(0.1) \cdot (0.08)}{0.78}$

Step 3

Simplify $P (A | B) = \frac{(0.1) \cdot (0.08)}{0.78}$ .

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Step 3.1

Multiply $0.1$ by $0.08$ .

$P (A | B) = \frac{0.008}{0.78}$

Step 3.2

Divide $0.008$ by $0.78$ .

$P (A | B) = 0.0\overline{102564}$

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