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  • A card is drawn at random from a pack of 52 playing cards. Find the probability of drawing a card which is neither a spade nor a king.      

A card is drawn at random from a pack of 52 playing cards. Find the probability of drawing a card which is neither a spade nor a king.

 

 
 
 
 
 

Answers (1)

Given        Total no of cards, n\left ( T \right )= 52
                  Total no of spade cards, n\left ( S \right )= 13
                  Total no of Kings, n\left ( K \right )= 4
                   Total no of King of spade,  n\left ( K S\right )= 1
Total no of cards which are neither spade or king, n\left ( A\right )= n\left ( T \right )-\left [ n\left ( S \right ) +n\left ( K \right )-n\left ( KS \right )\right ]
\Rightarrow n\left ( A\right )= 52-\left [ 13+4-1 \right ]
n\left ( A\right )= 36
Probability of drawing a card which is neither spade nor a King, p\left ( A\right )=\frac{n\left ( A \right )}{n\left ( T \right )}
                                                                                                        =\frac{36}{52}= \frac{9}{13}

Posted by

Safeer PP

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