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# Four cards are successively drawn with out replacement from a deck of 52 playing cards.What is the probability that all the four cards are kings?

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A)
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• In a pack of 52 cards there are 4 Kings
• If 4 cards are drawn is that replacement
• A defined as all 4 cards are Kings
• $$K_I$$ =getting King in( i)drawn
• AS ($$k_1$$$$\cap$$$$K_2$$$$\cap$$$$K_3$$$$\cap$$$$K_4$$$$\cap$$) are independent events
P($$K_1$$)=$$\large\frac{4}{52}$$
P($$K_2$$)=$$\large\frac{3}{51}$$
P($$K_3$$)=$$\large\frac{2}{50}$$
P($$K_4$$)=$$\large\frac{1}{49}$$
P(A)=$$\large\frac{4}{52}\times$$$$\large\frac{3}{51}\times$$$$\large\frac{2}{50}\times$$$$\large\frac{1}{49}$$
=$$\large\frac{1}{270725}$$