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Conditional Probability

New information rules outcomes out. Conditioning on B keeps only B and rescales it: P(A | B) is the share of B that A covers.

ABA ∩ B

Step 1 of 12Speed

Two dice. Event A: the sum is 10 or more — 6 of the 36 outcomes, so P(A) = 6/36 = 1/6.

P(A \mid B) = \frac{|A \cap B|}{|B|} = \frac{0}{0}

Click any outcome to add it to B or remove it. The count inside B is all that matters once B is known.

New information rules outcomes out. Conditioning on B keeps only B and rescales it: P(A | B) is the share of B that A covers.

ABA ∩ B

Step 1 of 12Speed

Two dice. Event A: the sum is 10 or more — 6 of the 36 outcomes, so P(A) = 6/36 = 1/6.

P(A \mid B) = \frac{|A \cap B|}{|B|} = \frac{0}{0}

Click any outcome to add it to B or remove it. The count inside B is all that matters once B is known.