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Let K be event of drawing a king out of a standard 52 card deck and let D be a diamond card. What does P(K|D) Represent and what is it?

So, that means what is the probability of a king given that you have a diamond card.

So that's the probability of (king intersection diamond)/(probability diamond)

(1/13)/(1/4) = 30.7%

That seems very high to me, the chance of having a king given that you have a diamond card is 30.7%?

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    Check your probability for (king intersection diamond) again. – 2017-02-11

1 Answers 1

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So, that means what is the probability of a king given that you have a diamond card.

Yes.   Now there are thirteen diamonds and one of them is a king, so...

So that's the probability of (king intersection diamond)/(probability diamond) (1/13)/(1/4) = 30.7%

No.   The probability for king of diamonds is much lower than $1/13$; there are fifty-two cards and one of them is the king of diamonds, so...