In: Statistics and Probability
You pick two cards, with replacement, from a standard 52 card deck. The probability that both are red 7's is approximately:
Question options:
| 
 .0001  | 
|
| 
 .0027  | 
|
| 
 .0015  | 
|
| 
 .0004  | 
There are 52 cards      
       
2 cards are the red 7s (Diamond 7 and Heart 7)  
           
P(picking a red 7 in the first draw) = 2/52 = 1/26  
           
Since the first card is replaced in the deck  
           
there are again           
   
2 cards of red 7s in the deck      
        
P(picking a red 7 in the second draw) = 2/52 = 1/26  
           
          
   
P(picking both red 7s ) = 1/26 * 1/26  
           
       = 0.0015  
   
Answer: