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preachersgirl5
16.07.2019 •
Mathematics
Assume that 2 cards are drawn in succession and without replacement from an ordinary deck of 52 cards. find the probability that the following occurs. 1 diamond and 1 jack other than the jack of diamonds (in that order) are drawn
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Ответ:
4 Jacks total ; 1 jack per suite
Chance of drawing a diamond on the first draw: 13/52
Without replacement means once drawn the card is not put back into the pool of cards. So the total cards, suit and type/number all decreases by one.
Chance of drawing one of the 3 non-Diamond Jacks on second draw: 3/51
Chance of drawing Diamond then non-Diamond Jack: (13/52) * (3/51) = 39/2652 = 0.015 (rounded to 1,000s place)
Ответ: