Two cards are dealt from a standard fiftytwo card deck The f

Two cards are dealt from a standard fifty-two card deck. The first card you receive is a face card (J,Q, or K). Determine the following conditional probabilities, and enter your response as either a rational number in p/q format or as a decimal value accurate to the nearest 0.001. P(2nd card= 7|1st card=face card)= P=(2nd card non-face card |1st card=face card)=

Solution

a)

If the first card is a face card, then there are 4 7s out of 51 remaining cards.

Thus,

P = 4/51 [ANSWER]

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B)

If the first card is a face card, then there are 40 non-face cards out of 51 remaining cards.

Thus,

P = 40/51 [ANSWER]