SOLUTION: A box contains 11 nickels, 4 dimes, and 5 quarters. If you draw 3 coins at random from the box without replacement, what is the probability that you will get a nickel, a dime, and

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains 11 nickels, 4 dimes, and 5 quarters. If you draw 3 coins at random from the box without replacement, what is the probability that you will get a nickel, a dime, and      Log On


   



Question 549462: A box contains 11 nickels, 4 dimes, and 5 quarters. If you draw 3 coins at random from the box without replacement, what is the probability that you will get a nickel, a dime, and a nickel, in that order?
Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
The prob of getting a nickel is 11/20
Now one coin is removed but we still have 4 dimes so the prob of getting a dime is 4/19
and a nickel will be 10/18 since there is one nickel gone and two coins gone
We multiply these probabilities together and get 11%2F20%2A4%2F19%2A10%2F18 which after some multiplication of fractions (top times top bottom times bottom) and simplifying we get 11/171