SOLUTION: Twelve $5-bills, eight $10-bills, and five $20-bills are put into a bag and shaken up. You get to reach in and pull out two of the bills without looking. What is the probability

Algebra ->  Probability-and-statistics -> SOLUTION: Twelve $5-bills, eight $10-bills, and five $20-bills are put into a bag and shaken up. You get to reach in and pull out two of the bills without looking. What is the probability       Log On


   



Question 327037: Twelve $5-bills, eight $10-bills, and five $20-bills are put into a bag and shaken up. You get to reach in and pull out two of the bills without looking. What is the probability you get a total of at least $20?
a 46% b 54% c 66 2/3% d 33 1/3% e 60%

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
12 $5, 8 $10, 5 $20=25 bills total
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Remember for the second probability, the total number of bills is reduced by 1.
1.P%285%2C5%29=P%285%29%2AP%285%29=+%2812%2F25%29%2A%2811%2F24%29=11%2F50
2.P%285%2C10%29=P%285%29%2AP%2810%29=%2812%2F25%29%2A%288%2F24%29=8%2F50
3.P%285%2C20%29=P%285%29%2AP%2820%29=%2812%2F25%29%2A%285%2F24%29=1%2F10
4.P%2810%2C5%29=P%2810%29%2AP%285%29=+%288%2F25%29%2A%2812%2F24%29=8%2F50
5.P%2810%2C10%29=P%2810%29%2AP%2810%29=+%288%2F25%29%2A%287%2F24%29=7%2F75
6.P%2810%2C20%29=P%2810%29%2AP%2820%29=+%288%2F25%29%2A%285%2F24%29=1%2F15
7.P%2820%2C5%29=P%2820%29%2AP%285%29=+%285%2F25%29%2A%2812%2F24%29=1%2F10
8.P%2820%2C10%29=P%2820%29%2AP%2810%29=%285%2F25%29%2A%288%2F24%29=1%2F15
9.P%2820%2C20%29=P%2820%29%2AP%2820%29=%285%2F25%29%2A%284%2F24%29=1%2F30
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If you add all of these probabilities together, you will get 1, since these outcomes represent all of the possible outcomes.
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Now find, the ones that sum to at least $20 and add up their probabilities.
3,5,6,7,8,9 all sum to at least $20. Add up all of their probabilities or you could add 1,2, and 4 probabilities and subtract from 1.
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P(>=$20)=23%2F50 or 46%