+0  
 
0
46
1
avatar

I have a deck of cards. What is the chance if I draw 4 cards, all of them are a distinct type? (Ace,2,3,5,6,7,8,9...King)

 Nov 16, 2020
 #1
avatar
0

 

I have a deck of cards. What is the chance if I draw 4 cards, all of them are a distinct type? (Ace,2,3,5,6,7,8,9...King)   

 

The first card can be anything                        1  

 

There's a 3 in 51 chance of drawing                        3 

one of the three remaining cards                    1  •  ——  

                                                                                51 

 

There's a 2 in 50 chance of drawing                         3          2   

one of the two remaining cards                        1  •  ——  •  ——     

                                                                                 51        50  

 

 

There's a 1 in 49 chance of drawing                           3          2          1

the last remaining card                                      1  •  ——  •  ——  •  ——  

                                                                                   51        50        49  

 

Multiply all the individual chances and  

the answer is the chance of all of them                  6                                              3  

happening simultaneously                                ————    which reduces to    ————  

                                                                         122,500                                     61,250  

.

 Nov 17, 2020

68 Online Users

avatar
avatar
avatar
avatar
avatar
avatar