Question

In: Statistics and Probability

You pick two cards, with replacement, from a standard 52 card deck. The probability that both...

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

Solutions

Expert Solution

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:             
      


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