consider a standard deck of playing cards... 52 cards, 4 suits of 13 cards each, 3...

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consider a standard deck of playing cards... 52 cards, 4 suitsof 13 cards each, 3 cards of each suit are face cards, 2 suits areblack (clubs and spades) and 2 are red (hearts and diamond)
a) Let event A be drawing a random card that is a diamond. Whatis a trial for this scenario? What is the sample space? Is A asimple event? What is P(A)? What is A¯, the complement of A? Whatis P(A¯)?
b) Let event A be drawing a random card that is a diamond. Letevent B be drawing a random card that is a face card. Are events Aand B disjoint? What is P(A or B)?
c) Consider drawing three cards. Let event A be the first cardis a heart. Let event B be the second card is a club. Let event Cbe the third card is black. Are events A, B and C independent? Whatis P(A and B and C)?

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3.7 Ratings (478 Votes)

a can be answered in two different waysOne is by taking 4 different suits as the sample space so thatthe event of drawing a diamond card is said to be a simple eventtrial is drawing a card of any suitThe other is by taking all 52 cards as the sample space so thatthe event of drawing a diamond card is said to be a compound eventas there are more than one possible way to get it ie 13 See Answer

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