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You draw a card from a standard deck of 52 cards, replace it, and draw another card. Find each probability. (Enter your probabilities as fractions.)

(a)    P(jack and then red) 
 

(b)    P(red and then diamond) 
 

(c)    P(three and then face card) 
 

(d)    P(ace of hearts and then eight) 

 Oct 18, 2018
 #1
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(a)    P(jack and then red) 
 There are 4 jacks  and  26  reds

The probability =   4/52 * 26/52  =  1/13 * 1/2  =  1 / 26

 

(b)    P(red and then diamond) 

We have  26 reds  and 13 diamonds

Probability =  26/52 * 13/52  =  1/2 * 1/4  =  1 / 8

 

(c)    P(three and then face card) 

The are 4 threes  and 12 face cards

The probability  =   4/52 * 12/52  =   1/13 * 3/ 13  =   3 / 169 

 

(d)    P(ace of hearts and then eight) 

We have 1 ace of hearts and 4 eights

The probability  =    1/52 * 4/52   =  1/52 * 1/13   =  1 / 676

 

 

cool cool cool

 Oct 18, 2018

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