Question 149

If two cards are drawn at randomfrom a well shuffled pack of 52 cards, then the probability of getting both cards from same suit is:

Solution

total number of event occurs when 2 card are drawn from pack of 52 cards = 52*51= 2652 

number of suits are there in packs of cards = 4

in a suit to total number of cards are there = 13 

total number of  favorable events when two cards are drawn from suits = 13*12*4 =156*4 

 now the probility of getting both cards are from  same  suits are =$$ \frac{total number of favorable events}{total  number of event occurs when 2 card are drawn from pack of 52 cards}$$

$$p{e2}=\frac{156*4}{2652}$$

$$p{e2}=\frac{4}{17}$$ answer  


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