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The face cards are removed from a full pack. Out of the remaining 40 cards, 4 are drawn at random.

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The face cards are removed from a full pack. Out of the remaining 40 cards, 4 are drawn at random. What is the probability that they belong to different suits? Select the correct answer from above options

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Given: The face cards are removed from a full pack of 52. By using the formula, P (E) = favourable outcomes / total possible outcomes Four cards are drawn from the remaining 40 cards, so we have to find the probability that all of them belong to different suit. Total possible outcomes of drawing four cards are 40C4 n (S) = 40C4 = 91390 Let E be the event that 4 cards belong to different suit. n (E) = 10C110C110C110C1 = 10000 P (E) = n (E) / n (S) = 10000 / 91390 = 1000/9139

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