SOLUTION: 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

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Question 566082: 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 Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
There are only two ways to have 67 cents in 6 coins:

1.   1 half dollar, 3 nickels and 2 pennies
2.   2 quarters, 1 dime, 1 nickel and 2 pennies

However, since half dollars are not in circulation, there is
just one way:

2 quarters, 1 dime, 1 nickel and 2 pennies

We want 

P(nickel first AND quarter second) =

P( "1 way out of 6 or 1%2F6" AND "2 ways out of 5 or 2%2F5) =

          1%2F6×2%2F5 = 2%2F30 = 1%2F15


Edwin