Four cards are drawn from 52 playing cards. Find the probability that the cards are. (i) All Jacks (ii) 3 Diamond, 1 Heart (iii) 1A,1K,1Q,1 J (iv)2 Face cards,1 King and 1 Number card .
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Case 1 : All 4 cards drawn together.
Required Probability = 1 ÷ (52C4) as Favorable and Total outcomes are 1 & 52C4 respectively.
Case 2 : All 4 cards drawn one by one with replacement.
Required Probability = (4/52)x(4/52)x(4/52)x(4/52) = ((1/13)^4).
Case 3 : All 4 cards drawn one by one without replacement.
Required Probability = (4/52)x(3/51)x(2/50)x(1/49) = ((1/(13x17x25x49)).
Please use Calculator if you need decimals. Answer.
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