+0  
 
0
179
1
avatar

Two cards are drawn at random from a deck of cards. (write all the answers to 4 decimal places)

(a)        What is the probability that both cards are aces if the first card is put back into the deck (which is then shuffled) before the second card is drawn?     

(b)       What is the probability that both cards are aces if the first card is not put back into the deck (drawing without replacement)?     

Guest Sep 29, 2017
Sort: 

1+0 Answers

 #1
avatar+85673 
+1

(a)        What is the probability that both cards are aces if the first card is put back into the deck (which is then shuffled) before the second card is drawn?  

 

P (ace on the first draw  = 4/52    = 1/13

P (ace on the second draw)  = 4/52   = 1/13

 

P(ace on both draws)  = (1/13) (1/13)  ≈  .0059

 

 

(b)       What is the probability that both cards are aces if the first card is not put back into the deck (drawing without replacement)?     

 

P (ace on the first draw  = 4/52    = 1/13

P (ace on the second draw)  = 3/51   = 1/17

 

P(ace on both draws)  = (1/13) (1/17)  ≈  .0045

 

 

 

 

 

cool cool cool

CPhill  Sep 29, 2017

18 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details