![]() It might make more intuitive sense to go for the approximate decimal form. Normally I would stick to the fraction form, but the integer values are quite large. We have 286*741 = 211,926 ways to pick a five-card hand that has exactly three spades and two other non-spade cards.Ī = number of hands that have 3 spades + 2 othersĪ/B = probability of getting exactly 3 spades and 2 other non-spades I'll skip the steps in showing how to get the 741, but you'd follow the templates above to show your teacher how you got 741. Then there are 39C2 = 741 ways to pick the other two non-spade cards. There are 286 ways to pick those three spades where order doesn't matter. There are 13 spades and we want exactly 3 spades We use the nCr combination formula because order doesn't matter in a card hand.Ī hand like There are 2,598,960 different five-card hands possible (whether they have 3 spades or not). ![]() You can put this solution on YOUR website! ![]()
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