SOLUTION: how would i do this? A box of 6 coins (penny, nickel, dime or quarter) worth $0.67 is shaken. What is the probability that a nickel is drawn first and then a quarter? Assume no re

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Question 146099: how would i do this? A box of 6 coins (penny, nickel, dime or quarter) worth $0.67 is shaken. What is the probability that a nickel is drawn first and then a quarter? Assume no replacement and that all coins are equally likely.

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
The first thing you need to do is figure out what coins are in the box.
You are given 6 coins and a total of $0.67. The only combination of 6 coins that yields $0.67 is
2 quarters
1 dime
1 nickel
2 pennies

Now you are asked to draw two coins and see what the chances are those two coins are a nickel and then a quarter.
Chances of drawing a nickel first are 1 in 6
Chances of drawing a quarter from the coins left in the box after the nickel was drawn is 2 in 5
The chances of getting a nickel and then a quarter is
= =

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