what does P(B|A) mean

Expert Solution

P(B | A), read as 'probability of B under the condition A' or 'probability of B given A), means the probability of occurance of B when it is certain that the event A will occur.

For example, consider a standard deck of cards with 13 each of spades, clubs, diamond and hearts. Hearts & diamonds are red. Clubs and spades are black. Let A be the event that a card chosen is black and B be the event that a card chosen is spades.

P(B|A) here means, a card chosen is spades, when its already know that its a black card.

We know that there are 26 black cards.

So, the probability of P(B|A) = 13/26 = 0.5

P(B|A) can also be calculated using Baye's theorem which states that

P(B|A) = P(B and A)/P(A)

orchestra answered 2 years ago

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