finite math

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three cards are randomly drawn without replacement from a standard deck of 52 cards. What is the probability of drawing an ace on the third draw?

• finite math -

well, you could draw these
AAA
??A
A?A
?AA to get an ace on the third draw.

Pr(aceonthird)= sum of above
=4/52*3/51*2/50 + 48/52*47/51*4/50+4/52*48/51*3/50+ 1*4/51*3/50

= 1/(52*51*50) * [24+(57*48*4)+(12*48)+ 12]

grab your calculator. check my work

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