Monday, October 24, 2011

A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting · a five given the card is a not a club. · a heart given the card is red. · a face card, given that the card is black. Show step by step work. Give all solutions exactly in reduced fraction form

A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). 
Find the probability of selecting · 
  1.  a five given the card is a not a club. 
  2.  a heart given the card is red. 
  3.  a face card, given that the card is black.
 Show step by step work. Give all solutions exactly in reduced fraction form

Answer : -

1) there are total 4 five cards but one of them is five of club 
so number of 5 which is not club are 3   
 and there are total 13 clubs card 
       so non clubs card will 52- 13 will  39

formula of probability = favorable out comes / total out comes 
 so probability of  a five given the card is a not a club.                                                                    = 3/39

2) there are total 13 heart card 
    and total red cards are 26 

so that probability of  card is red  
                                            = 13/26 
                                            = 1/2

3) there are total 26 black card 
  there will 3 face card of spades () and 
                3 face card of  clubs ()
 so total card will be 6 of spades and clubs

probability of a face card, given that the card is black
                                         = favorable out comes / total out comes 
                                         =6/26 
                                         = 3/13

card probability problems
A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting · a five given the card is a not a club. · a heart given the card is red. · a face card, given that the card is black. Show step by step work. Give all solutions exactly in reduced fraction form

No comments:

Post a Comment