Event A represents the act of drawing a rank of eight from astandard deck of 52

Question

Event A represents the act of drawing a rank of eight from astandard deck of 52 cards. a.) If B represents the event of drawing any diamond after thefirst card has been replaced back into the deck, determine theprobability of A and B b.) If B represents the event of drawing any face card ( king,queen, jack) without the first card being replaced back into thedeck, determine the proability of A and B Event A represents the act of drawing a rank of eight from astandard deck of 52 cards. a.) If B represents the event of drawing any diamond after thefirst card has been replaced back into the deck, determine theprobability of A and B b.) If B represents the event of drawing any face card ( king,queen, jack) without the first card being replaced back into thedeck, determine the proability of A and B

Explanation / Answer

I assume A represents the act of drawing an eight. a) P(A)=4/52 Replace card P(B)=13/52 P(A and B)=P(A)P(B)=(1/13)(1/4)=1/52 b)not replacing card P( A and B) =(4/52)(12/51). 51 on bottom because cardnot replaced                       =12/(13*51)=4/(13*17)=4/221

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