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  • From a pack of 52 playing cards, Jacks and Kings of red colour and Queens and Aces of black colour are removed. The remaining cards are mixed and a card is drawn at random. Find the probability that the drawn card is (i) a black Queen

From a pack of 52 playing cards, Jacks and Kings of red colour and Queens and Aces of black colour are removed. The remaining cards are mixed and a card is drawn at random. Find the probability that the drawn card is

(i) a black Queen

(ii) a card of red colour

(iii) a Jack of black colour

(iv) a face card

 

 
 
 
 

Answers (1)

Given : 

Jacks and Kings of red colour are removed.

\text{No. of Jacks and Kings of red color }=2\: \text{each}=2+2=4

Queens and Aces of black colour are removed.

\text{No. of Queens and Aces of black color }=2\: \text{each}=2+2=4

\text{Total no. of cards left}=52-(4+4)=52-8=44

(i)\; \text{No. of black queens left}=0\text{Probability of getting black queen}=\frac{0}{44}=0

(ii)\: \text{No. of red cards}=26-4=22

\text{Probability of getting a red card}=\frac{22}{44}=\frac{1}{2}

(iii)\: \text{No. of black colored jacks}=2

\text{Probability of getting black jack}=\frac{2}{44}=\frac{1}{22}

(iv)\: \text{No. of face card in the deck}=12-6=6

\text{Probability of getting a face card}=\frac{6}{44}=\frac{3}{22}                                           

 

Posted by

Safeer PP

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