Conditional Probability

Question

If two cards are drawn without replacement from an ordinary deck, find the probability of a  king of any suit and a 2 of clubs being drawn. The probability of a king of any suit and a 2 of clubs of clubs being drawn is ?

 

I am understanding the answer to this problem but I am not understanding the steps/formula used to get to the answer.

 

 

Answer 1

Hi Sarah, the probability of drawing a king is 4/52, since there are four kings in a deck of 52 cards. The probability of drawing a 2 of clubs out of the remaining cards is 1/53.

 

P(king and 2 of clubs) = 4/52 * 1/53, or 1/689

 

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