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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:
total number of event occurs when 2 card are drawn from pack of 52 cards = 52*51= 2652Β
number of suits are there in packs of cards = 4
in a suit to total number of cards are there = 13Β
total number ofΒ favorableΒ events when two cards are drawn from suits = 13*12*4 =156*4Β
Β now the probility of getting both cards are fromΒ sameΒ suits are =$$ \frac{total number of favorable events}{totalΒ number of event occurs when 2 card are drawn from pack of 52 cards}$$
$$p{e2}=\frac{156*4}{2652}$$
$$p{e2}=\frac{4}{17}$$ answerΒ Β
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