What Is the Probability of Drawing a 2, 3, or 4 as the 13th Card?

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SUMMARY

The probability of drawing a 2, 3, or 4 as the 13th card from a standard 52-card deck, after 12 cards have been dealt, is calculated as follows: there are 10 desired cards (4 twos, 2 threes, and 4 fours) remaining among the 46 unknown cards. The calculation results in a probability of 10/46, simplifying to approximately 0.217 or 21.7%. The previously dealt cards do not affect this probability since they are not part of the unknown cards.

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jackbauer
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Hi ppl, was hoping someone could point me in the right direction with this problem. 12 cards are dealt from a standard 52 pack of playing cards, 6 are kept face down, the others are 2 kings, two 3s, a 7 and a jack. Calculate the probability the 13th card drawn is a 2,3 or a 4.
Could someone please give me some help on how to proceed, thx
Jack
 
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You have 6 known cards including 2 3's. There are 46 unknown cards including 4 2's 2 3's and 4 4's, a total of 10 desired cards. Therefore the probability that the next card chosen is one of these is 10/46. The 6 previously chosen, but unknown, cards are irrelevant.
 

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