The first card selected from a standard 52-card deck is a king. a. If it is returned to the deck, what is the probability that a king will be drawn on the second selection? b. If the king is not replaced, what is the probability that a king will be drawn on the second selection? c. What is the probability that a king will be selected on the first draw from the deck and another king on the second draw?

1 Answers

Best Answer

a)If the first king is returned to the deck, then on the second selection, again there are four king cards in a total of 52.

So, P(king is drawn) =(4)/(52)=(1)/(13)=0.0769

b)If the king is not replaced, there are only 3 king cards available out of a total of 51 cards in the second selection.

P(king is drawn)=(3)/(51)=0.0588

c)P(king is drawn on both the draws)=(4)/(52)*(3)/(51)=(1)/(221)=0.00452 Result:

(1)/(13)=0.0769

(3)/(51)=0.0588

(1)/(221)=0.00452

So, P(king is drawn) =(4)/(52)=(1)/(13)=0.0769

b)If the king is not replaced, there are only 3 king cards available out of a total of 51 cards in the second selection.

P(king is drawn)=(3)/(51)=0.0588

c)P(king is drawn on both the draws)=(4)/(52)*(3)/(51)=(1)/(221)=0.00452 Result:

(1)/(13)=0.0769

(3)/(51)=0.0588

(1)/(221)=0.00452