Question

.If 4 cards are drawn at random from a pack of cards, find the probability that at least 3 cards are spade cards.​

Answer 1

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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)).

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Answer 2

Answer:

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Step-by-step explanation:

☞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)).